{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-09-01T08:38:47.853368Z",
     "start_time": "2025-09-01T08:38:47.847936Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ],
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-01T08:38:48.433459Z",
     "start_time": "2025-09-01T08:38:48.427485Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 定义目标函数\n",
    "def J(x):\n",
    "    return (x**2 -2)**2\n",
    "#定义梯度函数（导函数）\n",
    "def gradient(x):\n",
    "    return 4*x**3-8*x"
   ],
   "id": "b3443e71f80aab6a",
   "outputs": [],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-01T08:38:49.022693Z",
     "start_time": "2025-09-01T08:38:49.018616Z"
    }
   },
   "cell_type": "code",
   "source": [
    "#用列表保存点的变化轨迹\n",
    "x_list = []\n",
    "y_list = []"
   ],
   "id": "8be14d5a59b47376",
   "outputs": [],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-01T08:38:49.546009Z",
     "start_time": "2025-09-01T08:38:49.541757Z"
    }
   },
   "cell_type": "code",
   "source": [
    "#定义超参数和x的初始值\n",
    "alpha = 0.1\n",
    "x = 1"
   ],
   "id": "fbb7bc39b3544060",
   "outputs": [],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-01T08:38:50.002638Z",
     "start_time": "2025-09-01T08:38:49.996697Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 重复迭代到趋于0\n",
    "while(np.abs(grad := gradient(x)) > 1e-10):\n",
    "    y = J(x)\n",
    "    #记录当前点的坐标\n",
    "    x_list.append(x)\n",
    "    y_list.append(y)\n",
    "    print(f\"x={x}, f(x)={y}\")\n",
    "    #计算梯度\n",
    "    #grad = gradient(x)\n",
    "    #更新参数\n",
    "    x = x - alpha*grad"
   ],
   "id": "ad0106fd69ee232b",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x=1, f(x)=1\n",
      "x=1.4, f(x)=0.0016000000000000207\n",
      "x=1.4224, f(x)=0.0005392501374976093\n",
      "x=1.4091877474304, f(x)=0.00020135304893551616\n",
      "x=1.4171862364852523, f(x)=7.084300844963512e-05\n",
      "x=1.4124149508659842, f(x)=2.5847122806236675e-05\n",
      "x=1.415287241622027, f(x)=9.22929998773163e-06\n",
      "x=1.4135673979840147, f(x)=3.338701342062171e-06\n",
      "x=1.414600552545239, f(x)=1.1984190188213448e-06\n",
      "x=1.4139811140931138, f(x)=4.32186577498859e-07\n",
      "x=1.4143529396504189, f(x)=1.554235200471605e-07\n",
      "x=1.4141299030385595, f(x)=5.59877618758702e-08\n",
      "x=1.4142637460965501, f(x)=2.0147963735112437e-08\n",
      "x=1.4141834478650945, f(x)=7.254914247026955e-09\n",
      "x=1.4142316295388737, f(x)=2.611413195736911e-09\n",
      "x=1.4142027215196682, f(x)=9.401856170091332e-10\n",
      "x=1.4142200666857065, f(x)=3.3845021699891026e-10\n",
      "x=1.4142096597137321, f(x)=1.2184566457726578e-10\n",
      "x=1.4142159039428654, f(x)=4.386366454390472e-11\n",
      "x=1.414212157421928, f(x)=1.5791086566627823e-11\n",
      "x=1.4142144053404455, f(x)=5.6847550190840116e-12\n",
      "x=1.4142130565914788, f(x)=2.046519614941719e-12\n",
      "x=1.4142138658416306, f(x)=7.367453744324118e-13\n",
      "x=1.4142133802918173, f(x)=2.652286995383247e-13\n",
      "x=1.4142136716218054, f(x)=9.548225328649615e-14\n",
      "x=1.4142134968238484, f(x)=3.43736282428864e-14\n",
      "x=1.4142136017026357, f(x)=1.237450247225803e-14\n",
      "x=1.414213538775368, f(x)=4.454821690306094e-15\n",
      "x=1.4142135765317303, f(x)=1.6037356342241154e-15\n",
      "x=1.4142135538779135, f(x)=5.773448710029861e-16\n",
      "x=1.4142135674702039, f(x)=2.07844153561075e-16\n",
      "x=1.4142135593148297, f(x)=7.4823895281987e-17\n",
      "x=1.4142135642080542, f(x)=2.693660230151532e-17\n",
      "x=1.4142135612721196, f(x)=9.697175445638871e-18\n",
      "x=1.4142135630336803, f(x)=3.490983658276385e-18\n",
      "x=1.414213561976744, f(x)=1.2567534199946219e-18\n",
      "x=1.4142135626109056, f(x)=4.524310519734239e-19\n",
      "x=1.4142135622304086, f(x)=1.628754296250004e-19\n",
      "x=1.4142135624587069, f(x)=5.863504713019326e-20\n",
      "x=1.414213562321728, f(x)=2.1108604062700634e-20\n",
      "x=1.4142135624039152, f(x)=7.599043265167606e-21\n",
      "x=1.414213562354603, f(x)=2.7356323480919334e-21\n",
      "x=1.4142135623841903, f(x)=9.848304325933603e-22\n",
      "x=1.4142135623664378, f(x)=3.545540072174307e-22\n"
     ]
    }
   ],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-01T08:38:50.992031Z",
     "start_time": "2025-09-01T08:38:50.867698Z"
    }
   },
   "cell_type": "code",
   "source": [
    "#画图\n",
    "x = np.arange(0.9,1.6,0.01)\n",
    "plt.plot(x,J(x))\n",
    "plt.plot(x_list,y_list,\"r\")\n",
    "plt.scatter(x_list,y_list,color=\"r\")"
   ],
   "id": "45a86de961771db",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x204b699bd40>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-01T08:43:10.942789Z",
     "start_time": "2025-09-01T08:43:10.800485Z"
    }
   },
   "cell_type": "code",
   "source": [
    "#局部放大\n",
    "fig,ax = plt.subplots(1,2,figsize=(15,4))\n",
    "ax[0].plot(x,J(x))\n",
    "ax[0].plot(x_list,y_list,color=\"r\")\n",
    "ax[0].scatter(x_list,y_list,color=\"r\")\n",
    "\n",
    "x_list2 = x_list[1:]\n",
    "y_list2 = y_list[1:]\n",
    "x = np.arange(1.399,1.425,0.001)\n",
    "ax[1].plot(x,J(x))\n",
    "ax[1].plot(x_list2,y_list2,color=\"r\")\n",
    "ax[1].scatter(x_list2,y_list2,color=\"r\")\n",
    "plt.show()"
   ],
   "id": "7fb6596cc31ca6d9",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1500x400 with 2 Axes>"
      ],
      "image/png": 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vbGBvZ2VSBz8qlihIZGwCveaEciNJEyYRERGRnMzDzZkuxZIA+GTNflI7dISmTaFsWVi2zNzgRERE5L4o8ZVN3JwdmNGlHoVdHdhzNoY3lu4mNVVL5kVERERyrGXL6PNOFwomXme/Z0V+qNLYOH7uHLz4opJfIiIiuYASX9moTNECTOnkj4OdhTV7Ivh841GzQxIRERGR20lJgYEDKXI9hh7bV9AwfA87vauSjAX+qvc1aJC2PYqIiORwSnxls4bli/JhYC0AJm48ysqwcyZHJCIiIiK3+O03OHsWgJ7blzPo93m8u2kGKXb2xvM2G5w5Y4wTERGRHEuJLxO8XN+H3o+VB+DNpXvYcfqqyRGJiIiISDoREWn/LJR0A8eUZM4XKoZTys304xYsgPj4bA5ORERE7pcSXyZ566mqNKvmQVJyKq98G8rZq9fNDklERERE/uLlle7bGlHH6dD2Q7q+OIqjRUv9/cTUqcbYV16B7dv/3gYpIiIiOYISXyaxs1r4op0v1bzcuBSXRM/ZocQlJpsdloiIiIgAPPoolCoFFgsATinJDP1tDpsr1KdNl8+5UOAhcHeHihXh2jUjAdagAfj5waRJcFUr+kVERHKCDCe+fv31V9q0aYO3tzcWi4UVK1bcdfyyZcto3rw5xYsXx83NjUaNGrF+/foHjTdPKeBkz4wu9SheyIlDkdd4bcEuUtTpUURERMR8dnbwxRfGv/+b/Hr68B/UO7ufBAdnxj3eBWbOhCNHYPNm6NgRnJxg924YMAC8vaFzZ/jlF60CExERMVGGE1/x8fHUqVOHyZMn39f4X3/9lebNm7N27Vp27NhB06ZNadOmDbt27cpwsHmRd2EXpgXVw8neys+HLjB27UGzQxIRERERgOefh6VLoWRJACzAOz/PAOC7Wk+yv+GTRlLs8cdh7lyjLtiXX0Lt2pCQYBxr0gSqVIGPP4aoKPN+FhERkXzKYrM9+C0oi8XC8uXLCQwMzNB5NWrUoG3btowcOfK+xsfGxuLu7k5MTAxubm4PEGnOt3rPefrPN5KBHz1Xiw4BpU2OSEREJHfLD/OHvCBXvE8pKUb3xogI8PLitfNurNoTQeMKRZnXMwDLf1eEpbHZIDQUpk+H+fMhLs44bm8PbdpAz57QsqWxqkxEREQyLCPzh2yv8ZWamsq1a9coUqTIHcckJiYSGxub7pHX/ae2N683qwzAyJX7+OPYJZMjEhERERHASFA1aQLt20OTJgx9uiqO9la2HL/MxoMXbh1vsUD9+vDNN0aybMYMaNQIkpNh+XJo3RrKloVRo+D06ez+aURERPKVbE98ffLJJ8TFxfHyyy/fcczYsWNxd3dPe/j4+GRjhOZ57cmKPOvrTXKqjT5zd3DsQpzZIYmIiIjI/yj1kCvdHy4HwEc/HORmSuqdBxcsCN27w5YtsG8fDBoERYrA2bPw/vtQrpyx+mvpUkhKyp4fQEREJB/J1sTX/Pnzee+991i8eDElSpS447jhw4cTExOT9jhz5kw2Rmkei8XCxy/Uxr/MQ1xLSKZ78HauxGsCJCIiIpLTvNq0AkUKOHLiYjwLtoXf30k1asBnn8H587BwITRrZmyL/PFHeOklo4vkG2/AoUNZG7yIiEg+km2Jr4ULF9KzZ08WL15Ms2bN7jrWyckJNze3dI/8wtnBjm86+1PqIRfCr1ynz7c7SExOMTssEREREfkHN2cHXm9WCYDPfzpKbMLN+z/ZyQnatoUNG+D4cXjnHaML5MWLMGECVKsGjz4Ks2fD9etZ9BOIiIjkD9mS+FqwYAHdunVjwYIFtG7dOjsumasVK+jErK71KeRkz7ZTVxi+bC//ogeBiIiIiGSB9g1KU6F4Aa7EJzF507EHe5Hy5WHMGKPW16pV8MwzRk2x33+Hrl3BywtefRV27szU2EVERPKLDCe+4uLiCAsLIywsDICTJ08SFhZGeLixxHv48OEEBQWljZ8/fz5BQUFMmDCBgIAAIiMjiYyMJCYmJnN+gjyqkkchJnesi53VwrKd5/hq83GzQxIREZEsMnnyZMqWLYuzszMBAQFs27btruOXLFlC1apVcXZ2platWqxduzbd8zabjZEjR+Ll5YWLiwvNmjXj6NGj6cZ8+OGHNG7cGFdXVwoXLnzb61gsllseCxcuTDdm8+bN1K1bFycnJypWrEhwcHCGf/7cyt7OytutqgEw6/dTnLnyL1Zn/dXxceVKCA+HDz80kmKxsfD11+DvD3XrGv/WPFpEROS+ZTjxFRoaip+fH35+fgAMHjwYPz8/Ro4cCUBERERaEgxg6tSpJCcn069fP7y8vNIeAwcOzKQfIe96rHJxRj9TA4Dx6w+zZk+EyRGJiIhIZlu0aBGDBw9m1KhR7Ny5kzp16tCyZUsuXLhNt0Bgy5YttG/fnh49erBr1y4CAwMJDAxk3759aWPGjRvHxIkTmTJlCiEhIRQoUICWLVuSkJCQNiYpKYmXXnqJvn373jW+WbNmERERkfYIDAxMe+7kyZO0bt2apk2bEhYWxqBBg+jZsyfr16//d7+UXOSJqiVoXKEoSSmpjFt/OHNe1Nsb3n4bjh6FjRuhXTtwdIRdu4zVX15e0KWLsSpMuwJERETuymLLBXvoYmNjcXd3JyYmJl/V+/rLe9/vZ9Yfp3Cyt7LolUb4+hQ2OyQREZEcL7fMHwICAqhfvz6TJk0CIDU1FR8fHwYMGMCwYcNuGd+2bVvi4+NZvXp12rGGDRvi6+vLlClTsNlseHt7M2TIEN544w0AYmJi8PDwIDg4mHbt2qV7veDgYAYNGkR0dPQt17JYLCxfvjxdsuuf3nrrLdasWZMu6dauXTuio6NZt27dff38ueV9upv952P4z5e/Y7PB8lcb41f6ocy/yOXLMHcuTJsG+/f/fbxKFejZE4KC4C7No0RERPKSjMwfsrWrozyYEa2r80TVEiQmp9Jzdihnr6rIqYiISF6QlJTEjh070jX+sVqtNGvWjK1bt972nK1bt97SKKhly5Zp40+ePElkZGS6Me7u7gQEBNzxNe+mX79+FCtWjAYNGjBz5sx0dUfvFcvtJCYmEhsbm+6R29XwdueFuqUAGLPmYNbUZi1aFAYOhL17YetW6NEDChSAw4fhzTeNjpAvvQTr10NqauZfX0REJJdS4isXsLNamNjej6qehbgUl0iP4NCMdQ4SERGRHOnSpUukpKTg4eGR7riHhweRkZG3PScyMvKu4//6mpHXvJP333+fxYsXs2HDBl544QVeffVVvvzyy3vGEhsby40bN277mmPHjsXd3T3t4ePjk6GYcqo3WlTBxcGOHaev8sO+jP2eM8RigYYNYfp0iIiAqVOhQQO4eROWLoWnnjJqg73/Ppw5k3VxiIiI5BJKfOUSBZ3smdm1PiUKOXE46hr95+8iOUV380RERCTrvPvuuzz88MP4+fnx1ltvMXToUMaPH/+vXnP48OHExMSkPc7kkeSMp7szvR8rD8D//XCIxOSUrL9ooULQqxeEhMDu3TBgABQubHSIHDUKypSBVq1g+XIjMSYiIpIPKfGVi3gXdmFGl/q4ONjx65GLjP5+f9YspRcREZFsUaxYMezs7IiKikp3PCoqCk9Pz9ue4+npedfxf33NyGver4CAAM6ePUtiYuJdY3Fzc8PFxeW2r+Hk5ISbm1u6R17xyuPlKVHIifAr15mz5XT2Xrx2bZg4Ec6fh3nzoEkTo/D9Dz/A888bWyHfeguOHMneuEREREymxFcuU6uUO5+388Vigbl/hjPzj1NmhyQiIiIPyNHREX9/fzZu3Jh2LDU1lY0bN9KoUaPbntOoUaN04wE2bNiQNr5cuXJ4enqmGxMbG0tISMgdX/N+hYWF8dBDD+Hk5HRfseQ3ro72vNGiCgBf/nyUq/FJ2R+Eiwt06ACbNhlJrmHDwMMDLlyAceOMYvhNmhiF8u+wHVVERCQvUeIrF2pZw5O3n64GwJg1B9hwIOoeZ4iIiEhONXjwYKZNm8bs2bM5ePAgffv2JT4+nm7dugEQFBTE8OHD08YPHDiQdevWMWHCBA4dOsTo0aMJDQ2lf//+gNGJcdCgQYwZM4ZVq1axd+9egoKC8Pb2TtedMTw8nLCwMMLDw0lJSSEsLIywsDDi4uIA+P7775k+fTr79u3j2LFjfP3113z00UcMGDAg7TX69OnDiRMnGDp0KIcOHeKrr75i8eLFvP7669nwm8uZXvAvRVXPQsQmJPPFxqPmBlOpEowda9T6Wr4cWrcGqxV++QU6dwZvb2N75O7d5sYpIiKShSy2XLBXLi+0uc5sNpuNt5fvY8G2cFwc7FjSpxE1S7qbHZaIiEiOkZvmD5MmTWL8+PFERkbi6+vLxIkTCQgIAKBJkyaULVuW4ODgtPFLlixhxIgRnDp1ikqVKjFu3DhatWqV9rzNZmPUqFFMnTqV6OhoHnnkEb766isqV66cNqZr167Mnj37llg2bdpEkyZNWLduHcOHD+fYsWPYbDYqVqxI37596dWrF1br3/dON2/ezOuvv86BAwcoVaoU7777Ll27dr3vnz03vU/36/ejl+g0IwR7q4UfX3+M8sULmh3S386eheBgmDEDTp36+3i9eka9sHbtII+8DyIikndlZP6gxFcudjMlle7B2/nt6CU83JxY0e9hvNxvX09DREQkv9H8IXfIq+9Tt1nb2HT4Ii2qezA1qJ7Z4dwqNRU2bjS6Q/6z+L2rK7RtCz17QqNGRhdJERGRHCYj8wdtdczFHOysTO5Yl0olChIVm0iP4FDiEpPNDktEREQk33u7VTXsrBZ+PBDFnycumx3OraxWaN4cFi2Cc+dgwgSoWhWuX4dZs+Dhh6FmTfjsM7h0yexoRUREHpgSX7mcm7MDM7vWp1hBRw5ExDJg/k6SU1LNDktEREQkX6vkUYh29X0A+HDNQVJTc/Ami+LFYfBgOHAAfv8dunY1iuQfOGAcL1nS2AL500/GSjEREZFcRImvPMCniCvTu9THyd7KpsMXeX/1AXLBDlYRERGRPO315pUp6GTP3nMxrNx9zuxw7s1iMVZ6zZoFERHw9dfg7w9JScbKsObNoUIFGDPGWCUmIiKSCyjxlUf4+hTm87a+WCwwZ+tpZv1xyuyQRERERPK1YgWdeLVpBQDGrztMws0UkyPKAHd36NMHQkNh507o1884duoUvPsulC4NbdrAypWQrFIbIiKScynxlYc8XcuL4U9XBeCDNQf4cX+kyRGJiIiI5G/dHy5HycIunI9JYMbvJ80O58H4+cGkSXD+PMyZA489Zmx5XL0aAgONJNjbb8Px42ZHKiIicgslvvKYXo+Wp2NAaWw2GLgwjD1no80OSURERCTfcnawY+hTVQD4atMxLl5LNDmif8HVFTp3hl9+gUOH4M03jfpgEREwdixUrAhPPgkLFkBCgtnRioiIAEp85TkWi4X3nqnB45WLc+NmCj1mh3Iu+obZYYmIiIjkW21qe1OnlDvxSSl8uuGI2eFkjipVYNw4OHsWli6Fp54yaoT9/DN06ADe3jBwIOzbZ3akIiKSzynxlQfZ21mZ1MGPqp6FuHgtke6zthObcNPssERERETyJavVwoj/VAdg0fZwDkdeMzmiTOToCC+8AD/8YNT/Gj0afHzg6lWYOBFq1YKGDWH6dIiLMztaERHJh5T4yqMKOTsws2t9ShRy4nDUNfrN28nNFLWfFhERETFD/bJFeKqGJ6k2+GjtQbPDyRqlS8OoUXDypJEIe+EFsLeHkBDo1Qu8vIyvISGgDuQiIpJNlPjKw7wLuzCza31cHe347eglRizfh02TDBERERFTDHu6Kg52Fn45cpFfj1w0O5ysY2dnbH1cutTYCjluHFSubKz4mj7dWAFWp46xIuzKFbOjFRGRPE6JrzyuZkl3vmzvh9UCi0LP8NVmddsRERERMUPZYgXo3LAsAGPWHMgfq/E9PIwi+IcOwa+/GsXxnZ1h716jBpi3N3TsCJs2GZ0iRUREMpkSX/nAk9U8eO+ZGgCMX3+YlWHnTI5IREREJH967cmKPOTqwJGoOGZvOWV2ONnHYoFHH4U5c4wukJMng68vJCbC/PnwxBPGqrCxY43nRUREMokSX/lE50Zl6f1YeQDeXLKHkBOXTY5IREREJP8p7OrIsKerAvDZhiNExSaYHJEJCheGV1+FnTshNBT69IFCheD4cXj7baM4fmAgrF4NyclmRysiIrmcEl/5yLCnqvJ0TU+SUlLp/e0Ojl1QZx0RERGR7PaSvw9+pQsTn5TCh2vyaKH7+2GxgL8/fP21scpr1ix4+GFISYGVK6FNGyhbFt591yiYLyIi8gCU+MpHrFYLn7X1xa90YWJu3KRb8DYuxSWaHZaIiIhIvmK1Wvjg2ZpYLbBq93m2HL9kdkjmK1AAunaF33+HAwdg8GAoWhTOnYMxY6B8eWjeHBYvNrZHioiI3CclvvIZZwc7pgfVo3QRV85cuUGP2aHcSEoxOywRERGRfKVmSXc6NSwDwMiV+/NHofv7Va0aTJhgJL0WLzYSXgA//QRt20LJkkZi7MABc+MUEZFcQYmvfKhoQSeCu9WnsKsDu89EM3DhLlJSbWaHJSIiIpKvDGlehaIFHDl2IY6Zv2sr3y2cnOCll+DHH+HECWPLY8mScPkyfPYZ1KhhbI2cNQvi482OVkREciglvvKp8sULMi2oHo72Vn48EMUHqw9gsyn5JSIiIpJd3F0d0grdf7HxKBExN0yOKAcrVw7efx9OnTKK3gcGgp0dbNkC3buDl5dRJD80FDSnFRGRf1DiKx+rX7YIn75cB4DgLaeYoTuNIiIiItnqhbql8C/zENeTUhiTnwvd3y97e2jdGpYvhzNnYOxYqFABrl2Db76B+vXBzw8mT4arV82OVkREcgAlvvK5/9T25u1Wxp3GD9ceZO3eCJMjEhEREck/rFYL7z9bA6sF1uyJ4PejKnR/37y8YNgwOHIENm2CDh2M7ZG7d0P//uDtDZ07w6+/ahWYiEg+psSX0OvR8nRpVAabDQYtCiP0xCXYvBkWLDC+pqj4vYiIiEhWqeHtTlCjsgCMXLWPpGQVus8QqxWaNIF58+D8eZg4EWrVgoQEmDsXHn8cqlSBceMgKsrsaEVEJJtlOPH166+/0qZNG7y9vbFYLKxYseKe52zevJm6devi5ORExYoVCQ4OfoBQJatYLBZGtqlBs2oeJCWn0vPLjZx4vqNx16xpUyhbFpYtMztMERERkTzr9eaVKVbQiRMX45n++wmzw8m9ihSBAQOMVV8hIdCrFxQsCEePwltvQalS8MIL8MMPurkrIpJPZDjxFR8fT506dZg8efJ9jT958iStW7emadOmhIWFMWjQIHr27Mn69eszHKxkHTurhS9dw6lz/jDRTgXp+tJ7XHJ1N548dw5efFHJLxEREZEs4u7ikFZ+4suNxzgXrUL3/4rFAg0awNSpEBEB06dDw4aQnGzMaVu1Mgrmjx4Np0+bHa2IiGQhi+1ftPKzWCwsX76cwMDAO4556623WLNmDfv27Us71q5dO6Kjo1m3bt19XSc2NhZ3d3diYmJwc3N70HDlblJSoGxZLl25xvOdPsEtMZ5Bv8/j4VO7cUlJMiYPpUrByZNGBx0REZEcTvOH3EHv099sNhsvf7OV7aeu8nRNT77u5G92SHnPvn1GEuzbb+HKFeOYxQItWhirw9q0AUdHc2MUEZF7ysj8IctrfG3dupVmzZqlO9ayZUu2bt16x3MSExOJjY1N95As9ttvcPYsxa7HELx4JF98P55mx7cT5+RKMhajIOiZM8Y4EREREcl0FouF95+tiZ3Vwg/7IvnlyEWzQ8p7ataEzz83djQsWABPPGHMc9evN3Y4lCoFb74Jhw6ZHamIiGSSLE98RUZG4uHhke6Yh4cHsbGx3Lhx+yXcY8eOxd3dPe3h4+OT1WFKxN/dHMtHR5BsteOsW3GKX4/GCthuM05EREREMlc1Lze6/LfQ/ehV+0lMVh2qLOHsDO3awcaNcOwYvP220SXy4kX45BOoVg0eewzmzIHr182OVkRE/oUc2dVx+PDhxMTEpD3OnDljdkh5n5dXum+rXArnUPGyrKj+OFZsWP56IlVdhkRERESy0uvNK1G8kBMnL8Uz7VcVus9yFSrAhx9CeDisXGlsd7RajZ0OXbqAtzf06we7dpkdqYiIPIAsT3x5enoS9T9tg6OionBzc8PFxeW25zg5OeHm5pbuIVns0UeNpd2WtBQXzY5vJ9q5EK+1eYNYR1fjYJ8+EBxsLAkXERGRTDF58mTKli2Ls7MzAQEBbNu27a7jlyxZQtWqVXF2dqZWrVqsXbs23fM2m42RI0fi5eWFi4sLzZo14+jRo+nGfPjhhzRu3BhXV1cKFy58yzV2795N+/bt8fHxwcXFhWrVqvHFF1+kG7N582YsFsstj8jIyAf7RQgAhZwdGNG6GgCTNh3jzBWtOMoW9vbwzDOwapWRBBszxiiAHxMDX30FdeuCvz98/bVxTEREcoUsT3w1atSIjRs3pju2YcMGGjVqlNWXloyws4O/JrP/SH513bkar2uXebr7JLaVqgFxcdCtG7z88t8FQUVEROSBLVq0iMGDBzNq1Ch27txJnTp1aNmyJRcuXLjt+C1bttC+fXt69OjBrl27CAwMJDAwMF0joXHjxjFx4kSmTJlCSEgIBQoUoGXLliQkJKSNSUpK4qWXXqJv3763vc6OHTsoUaIEc+fOZf/+/bzzzjsMHz6cSZMm3TL28OHDREREpD1KlCjxL38r8kwdbwLKFSHhZiofrD5gdjj5T8mS8M47xjbIn36Ctm2Novc7d8Krrxq7Jbp2hT/+0A1hEZEcLsNdHePi4jh27BgAfn5+fPrppzRt2pQiRYpQunRphg8fzrlz55gzZw4AJ0+epGbNmvTr14/u3bvz888/89prr7FmzRpatmx5X9dUt59stGwZDBwIZ8+mHUr1Kc3A/l+y5hIMDF3Oa7/NxZKcbEwI5swxioKKiIjkMLll/hAQEED9+vXTEkqpqan4+PgwYMAAhg0bdsv4tm3bEh8fz+rVq9OONWzYEF9fX6ZMmYLNZsPb25shQ4bwxhtvABATE4OHhwfBwcG0a9cu3esFBwczaNAgoqOj7xlrv379OHjwID///DNgrPhq2rQpV69eve2qsfuRW94nMxyJusbTX/xGSqqNWV3r07SqEoqmunQJ5s6FadPgwD+SkVWrQs+eEBQExYubF5+ISD6SpV0dQ0ND8fPzw8/PD4DBgwfj5+fHyJEjAYiIiCA8PDxtfLly5VizZg0bNmygTp06TJgwgenTp9930kuy2fPPw6lTsGkTzJ8PmzZhPXmCTwa3pkHF4nzW4EW69vycmxUqGt1wmjWDoUMhMdHsyEVERHKdpKQkduzYka4DttVqpVmzZnfsgH2vjtknT54kMjIy3Rh3d3cCAgLu2lX7fsTExFCkSJFbjvv6+uLl5UXz5s35448/7voa6t59/yp7FKL7w2UBGP39fhJuqtC9qYoVg0GDYN8+2LIFuncHV1ejA+Qbbxg3hV9+GX78UXVxRURykAwnvpo0aYLNZrvlERwcDBh3DTdv3nzLObt27SIxMZHjx4/TtWvXTAhdsoydHTRpAu3bG1/t7HCyt+ObzvWo7FGQX9zL8lyPiSR2624s7R4/Hho2hIMHzY5cREQkV7l06RIpKSm37YB9pzpZd+qY/df4v75m5DXvx5YtW1i0aBG9e/dOO+bl5cWUKVP47rvv+O677/Dx8aFJkybs3Lnzjq+j7t0ZM7BZZTzcnDh9+TpTVeg+Z7BYoFEjmDHD6Hj+zTdQvz7cvAlLlkDLllC+PHzwQbpdFCIiYo4c2dVRciZ3FweCuzXA082ZfTGpdGrQg6TFS6FoUQgLMwp+fvWV6hyIiIjkMfv27ePZZ59l1KhRtGjRIu14lSpVeOWVV/D396dx48bMnDmTxo0b89lnn93xtdS9O2MKOtkzonV1ACar0H3O4+YGvXvDtm3GfLh/fyhcGE6fhpEjoUwZaN0ali83EmMiIpLtlPiSDPEu7EJw9/oUcrJn+6mrDEgoQ0rYbmjeHBISjFbPbdrA/3TyFBERkVsVK1YMOzu723bA9vT0vO05d+qY/df4v75m5DXv5sCBAzz55JP07t2bESNG3HN8gwYN0urB3o66d2fcf2p70bhCURKTU3nv+/1mhyN3UqcOfPklnD9v1AJr0sTY8rh2rVFOxMcHhg2D/+mwKiIiWUuJL8mwqp5uTA2qh6OdlfX7oxgdehXbDz/AZ58Z3W7WrIHatY0PeREREbkjR0dH/P3903XATk1NZePGjXfsgH2vjtnlypXD09Mz3ZjY2FhCQkIy3FV7//79NG3alC5duvDhhx/e1zlhYWF4eXll6DpydxaLhfefrYG91cJPBy/w0wHdYMzRXFygY0ejZu6RI/DWW+DhYdwY/vhjqFzZSIrNmwc3bpgdrYhInqfElzyQRhWK8mnbOlgs8O2fp/nq15NGsc/t26FmTbhwwVjW3b+/PtBFRETuYvDgwUybNo3Zs2dz8OBB+vbtS3x8PN26dQMgKCiI4cOHp40fOHAg69atY8KECRw6dIjRo0cTGhpK//79ASNJMmjQIMaMGcOqVavYu3cvQUFBeHt7ExgYmPY64eHhhIWFER4eTkpKCmFhYYSFhREXFwcY2xubNm1KixYtGDx4MJGRkURGRnLx4sW01/j8889ZuXIlx44dY9++fQwaNIiff/6Zfv36ZcNvLn+pWKIQPR4tB8B7q1XoPteoVAn+7//gzBmje3qrVmC1wi+/QKdO4O0NAwbAnj1mRyoikmcp8SUP7D+1vXn3vzUnxq8/zJLQM8ZKr+3bYeBAY9DkyeDvb9Q8EBERkVu0bduWTz75hJEjR+Lr60tYWBjr1q1LK04fHh5ORERE2vjGjRszf/58pk6dSp06dVi6dCkrVqygZs2aaWOGDh3KgAED6N27N/Xr1ycuLo5169bh7OycNmbkyJH4+fkxatQo4uLi0rp2h4aGArB06VIuXrzI3Llz8fLySnvUr18/7TWSkpIYMmQItWrV4vHHH2f37t389NNPPPnkk1n9a8uXXnuiEp5uzpy5coOvNx83OxzJCAcHeO45Y2fEqVPw3ntQujRER8OkScY2yQYNYOpUuHbN7GhFRPIUi82W8yuRx8bG4u7uTkxMjOpA5EBj1x7km19PYGe1ML1LPZpWKWE8sX49dO0KkZHGh/1HH8HgwcZdLhERkSym+UPuoPcpY9bsiaDf/J042lvZ8PpjlClawOyQ5EGlpMDGjTBtGqxc+Xfx+wIFoG1b6NnT6JxusZgbp4hIDpSR+YMyEPKvvfVUVQJ9vUlJtdFv3k52n4k2nmjZ0li2/cwzxgf5m29CixZw7pyp8YqIiIjkVq1qefJopWIkJacyatV+csE9bLkTOztjbrxkCZw9C598AlWrQnw8zJwJjRtDrVrw+edw6ZLZ0YqI5FpKfMm/ZrVaGPdiHR6tVIzrSSl0D97OqUvxxpPFi8OKFTBlilHoc+NG4wP8u+9MjVlEREQkN7JYLIx+pgYOdhY2H77IBhW6zxtKlIAhQ+DAAfjtN+jSxZg7798Pr78OJUtCu3bGXDo11exoRURyFSW+JFM42lv5upM/NbzduByfRNDMbVy4lmA8abHAK6/Arl1Gva+rV+HFF6FHD/hvAV0RERERuT8Vihek16PlAXjv+wPcSFKh+zzDYoFHHoHgYIiIgK++grp1ISkJFi2CZs2gYkX48EPtohARuU9KfEmmKehkz6xu9SldxJXwK9fpOnM71xJu/j2gShXYsgWGDzc+1GfOBF9fCAkxLWYRERGR3Kj/ExXxdnfmXPQNPt1w2OxwJCu4u0PfvrBjh/F49VVwc4OTJ2HECKM4/jPPwKpVkJxsdrQiIjmWEl+SqUoUcmZO9wYUK+jIgYhYXvl2B4nJ/7gL6ehoFLnftAl8fOD4cXj4YXj/fX1gi4iIiNwnV0d7Pgg0OnnO+P0kYX/VWJW8qW5do1t6RATMng2PPmpsefz+e3j2WSMJ9s47xtxaRETSUeJLMl3ZYgUI7taAAo52bDl+mcGLdpOS+j+FVx9/HHbvNjrWpKTAqFHGsZMnzQlaREREJJd5spoHgb7epNpg6NLd6W82St7k6gpBQfDrr3DwILzxhlFTNyLCuLlcsaKxHXLhQkhIMDtaEZEcQYkvyRI1S7rzTed6ONhZWLM3gve/v03XoYceggULYM4cKFTI2AZZpw58+y2oQ5GIiIjIPY1sU4OiBRw5EhXH5E1a7ZOvVK0K48cbHSGXLDE6qlssRgH89u2NgviDBsG+fWZHKiJiKiW+JMs8UqkYn77si8UCs7ee5qvNt5mMWSzQubOx+qtxY7h2zbiL1aEDREdne8wiIiIiuUmRAo6892wNAL7adIyDEbEmRyTZztHRaBy1bp2xe2LUKKOkyJUr8MUXRkf1Ro1gxgw1lhKRfEmJL8lSbep4M/I/1QEYv/4wi7aH335guXLwyy9GrS87O2N5du3axjERERERuaPWtbxoUd2D5FQbQ5fuITkl1eyQxCxlysDo0UYCbO1aeP55sLeHP/+Enj3Bywt694Zt27TDQkTyDSW+JMt1e7gcrzapAMDwZXv5cX/k7Qfa28O778Lvv0OFCnDmDDRtanSBTErKxohFREREcg+LxcKYwJq4Oduz91wM035TzdR8z84Onn4avvvOmFN//DFUqmSs+Jo2DQICjBIjX35prAwTEcnDlPiSbPFmyyq8XK8UqTbov2AXIScu33lww4awaxd062bcifq//zO2QR5Wq24RERGR2ynh5sy7/11l/9lPRzh+UVva5L88PWHoUGMu/csv0KkTODvD3r3w2mvg7Q0dO8LmzVoFJiJ5khJfki0sFgsfPVeLZtU8SEpOpefsUA6cv0sNikKFYOZMWLrUKIK/Y4fRxvmbb/SBLCIiInIbL/qX4rHKxUlKTmXYd3tI/d+u2pK/WSzw2GNGI6nz52HSJGPVV2IizJ9v7LSoXNm46Rx5hx0aIiK5kBJfkm3s7axM6uBHg7JFuJaYTNDMbYRfvn73k154AfbsgSeegOvXoU8fCAyEixezJWYRERGR3MK40ViTAo52bD91lW//PG12SJJTPfQQ9Otn7LLYvh1eecW48XzsmFFmpFQpeO45WLMGkpPNjlZE5F9R4kuylbODHdO61KOalxuX4hLpNCOEC9cS7n5SqVKwYQN88gk4OMCqVUbh+3XrsidoERERkVyi1EOuDHu6KgAfrzvEmSv3uMko+ZvFAvXqwZQpxiqwmTONEiMpKbBiBfznP1C2LIwcCadOmRysiMiDUeJLsp27iwOzu9endBFXwq9cp8vM7cQm3Lz7SVYrDBlidKCpVs1Yfv300zBwICTcI3EmIiIiko90DChDg3JFuJ6UwvBle7GpTITcj4IFjRq7f/wB+/fD669D0aJw7hx88AGULw8tWsDixcb2SBGRXEKJLzFFiULOfNujAcUKOnEwIpaes0NJuJly7xN9fSE01FiaDTBxItSvbxTnFBERERGsVgsfv1AbJ3srvx+7xJLQs2aHJLlN9erw6adG0mvRImjWzKizu2EDtG1r7MgYMgQOHjQ7UhGRe1LiS0xTpmgBZnevTyEne7advMKABbtITkm994murkYxztWroUQJ2LfPWKL9+eeQeh/ni4iIiORx5YoVYHDzygB8sOYAUbFaIS8PwMkJXn7ZSHidOAEjRhhdIC9dMhJj1avDI49AcDDEx5sdrYjIbSnxJaaq4e3OtC71cLS3suFAFMOW7b3/DkStWxuF71u1gqQkYzn2U08Z9QlERERE8rkej5Sjdil3riUkM2LFPm15lH+nXDljy+Pp0/D99/Dss2BnZ2yN7NbNSIj17Wt0Y9d/ayKSgyjxJaZrWL4ok9r7YWe1sHTHWT5ce/D+J2YeHsbKr8mTwdnZuBtVu7ZRjFNEREQkH7O3szLuxdo42FnYcCCK1XsizA5J8gJ7e6Po/YoVcOYMfPSRUf8rNtYokl+vHtSta8zPo6PNjlZERIkvyRla1PDk4xdqAzDj95NM3nTs/k+2WODVV2HnTqMG2OXLRvvl3r215FpERETytaqebvRrWhGAUav2czlORcklE3l5wfDhcPQo/PwztG8Pjo4QFgb9+xvPBwXBr79qFZiImEaJL8kxXvQvxbv/qQ7AJz8e4ds/T2fsBapVgz//hDffNJJh06aBnx9s354F0YqIiIjkDq82qUhVz0JciU/ive8PmB2O5EVWKzRtCvPnG2VHvvgCatY0uq9/+y08/jhUrQrjx0NUlNnRikg+o8SX5Cg9HinHa08YdyVHrtzHyrBzGXsBJycYNw5++glKljTuPjVubCzBTrmPrpEiIiIieYyjvZWPX6iN1QKrdp/npwNKPEgWKloUXnvNqMX755/QsycUKABHjsDQoUZHyBdfhHXrND8XkWzxQImvyZMnU7ZsWZydnQkICGDbtm13Hf/5559TpUoVXFxc8PHx4fXXXychQZ1l5PZeb16ZoEZlsNlgyOLdbDp0IeMv8sQTxoftiy9CcjK8845xF+p0BleRiYiIiOQBdXwK0+vR8gC8s2IvMTdumhyR5HkWCwQEGLswIiKMrwEBxtz8u+/g6aeN2mDvvQfh4WZHKyJ5WIYTX4sWLWLw4MGMGjWKnTt3UqdOHVq2bMmFC7dPTsyfP59hw4YxatQoDh48yIwZM1i0aBFvv/32vw5e8iaLxcLoNjV41teb5FQbfeftYPupKxl/oSJFYPFimDULChaE336DOnVgwYLMD1pEREQkh3u9eWXKFStAVGwiY9ceNDscyU8KFTJWfv35p3Fz+rXX4KGHjITX6NFQtqyRCPvuO6Nbu4hIJspw4uvTTz+lV69edOvWjerVqzNlyhRcXV2ZOXPmbcdv2bKFhx9+mA4dOlC2bFlatGhB+/bt77lKTPI3q9XCJy/V4YmqJUi4mUr34O3sPx+T8ReyWKBrV6PAZkAAxMRAhw7QqZPxbxEREZF8wtnBLq2Z0MLtZ/j96CWTI5J8qVYtowbY+fNGTbAnnjAK369bZ+zW8PExtkQePmx2pCKSR2Qo8ZWUlMSOHTto1qzZ3y9gtdKsWTO2bt1623MaN27Mjh070hJdJ06cYO3atbRq1eqO10lMTCQ2NjbdQ/IfBzsrkzvUpUHZIlxLSCZoxjaOX4x7sBerUMFY8TVypFF8c948Y/XX779nbtAiIiIiOViDckUIalQGgGHL9hCfmGxyRJJvOTsbXSA3bjTq8g4fDp6ecOGCUQS/alV47DGjOP7162ZHKyK5WIYSX5cuXSIlJQUPD490xz08PIiMjLztOR06dOD999/nkUcewcHBgQoVKtCkSZO7bnUcO3Ys7u7uaQ8fH5+MhCl5iIujHdO71qNmSTcuxyfRaXoIZ68+4Aefg4NRQ+C336BcOaPe1+OPw7vvwk3VuRAREZH8YehTVSlZ2IWzV28wfr1W1UgOULGi0YwqPBxWrID//Me4Wf3bbxAUBN7e0K+fsYtDRCSDsryr4+bNm/noo4/46quv2LlzJ8uWLWPNmjV88MEHdzxn+PDhxMTEpD3OnDmT1WFKDubm7MDsbg2oULwAETEJdJoewsVriQ/+go0bGx+aQUGQmgpjxsAjjxh3mkRERETyuIJO9ox9vhYAs7eeIvRBaqmKZAUHB3j2Wfj+eyMJ9sEHRv2vmBj46ivw84N69WDKFNCuIBG5TxlKfBUrVgw7OzuiotK3QI6KisLT0/O257z77rt07tyZnj17UqtWLZ577jk++ugjxo4dS2pq6m3PcXJyws3NLd1D8reiBZ2Y17MhpR5y4dTl63SeEULM9X+xSsvNDWbPhoULoXBh2LbN+CCdMcOoMSAiIpKNMtoxe8mSJVStWhVnZ2dq1arF2rVr0z1vs9kYOXIkXl5euLi40KxZM47+zw2eDz/8kMaNG+Pq6krhwoVve53w8HBat26Nq6srJUqU4M033yQ5Of3WuM2bN1O3bl2cnJyoWLEiwcHBGf75Jfs9Vrk4L/mXwmaDod/tIeFmitkhiaRXsiSMGAHHj8OGDfDyy0ZibMcO6NsXvLygWzf44w/N30XkrjKU+HJ0dMTf35+NGzemHUtNTWXjxo00atTotudcv34dqzX9Zezs7ABjUiZyvzzdnZnbI4DihZw4FHmNrsHb/n1dirZtjc4yjz8O8fFGt5kXXoDLlzMnaBERkXvIaMfsLVu20L59e3r06MGuXbsIDAwkMDCQffv2pY0ZN24cEydOZMqUKYSEhFCgQAFatmxJQkJC2pikpCReeukl+vbte9vrpKSk0Lp1a5KSktiyZQuzZ88mODiYkSNHpo05efIkrVu3pmnTpoSFhTFo0CB69uzJ+vXrM+m3I1lpROvqFC/kxImL8UzcqJXvkkNZrdCsGSxaZBTE//RTqFbNqPsVHGzs3KhRwzh+8aLZ0YpITmTLoIULF9qcnJxswcHBtgMHDth69+5tK1y4sC0yMtJms9lsnTt3tg0bNixt/KhRo2yFChWyLViwwHbixAnbjz/+aKtQoYLt5Zdfvu9rxsTE2ABbTExMRsOVPOhQRKytznvrbWXeWm1rP3Wr7UZS8r9/0eRkm+3//s9ms7e32cBm8/a22TZs+PevKyIipskt84cGDRrY+vXrl/Z9SkqKzdvb2zZ27Njbjn/55ZdtrVu3TncsICDA9sorr9hsNpstNTXV5unpaRs/fnza89HR0TYnJyfbggULbnm9WbNm2dzd3W85vnbtWpvVak2b49lsNtvXX39tc3NzsyUmJtpsNptt6NChtho1aqQ7r23btraWLVve8edNSEiwxcTEpD3OnDmTK96nvGrdvghbmbdW28oPX2Pbezba7HBE7k9qqs32xx82W7duNpurqzF/B5vNwcFme+klm+3HH222lBSzoxSRLJSReV6Ga3y1bduWTz75hJEjR+Lr60tYWBjr1q1LK3gfHh5ORERE2vgRI0YwZMgQRowYQfXq1enRowctW7bkm2++yZzMneQ7VTwLMbtbAwo42rHl+GX6z9/FzZTbb5u9b3Z28NZb8OefUKWKcTepeXMYMgQS/0U9MRERkbt4kI7ZW7duTTceoGXLlmnjT548SWRkZLox7u7uBAQE3PE173SdWrVqpWtq1LJlS2JjY9m/f/99xXI7amKUs7Ss4Unr2l6kpNoYsni3tjxK7mCxGHV7Z86EiAij5le9ekbDqiVLoEULo6v7Bx/A2bNmRysiJnug4vb9+/fn9OnTJCYmEhISQkBAQNpzmzdvTlfbwd7enlGjRnHs2DFu3LhBeHg4kydPvmMtCZH7UcenMNO71MfR3spPB6MYsng3KamZsHXW39+oG9Cnj/H9p59Cgwbw3wm+iIhIZnqQjtmRkZF3Hf/X14y8Zkau889r3GlMbGwsN27cuO3rqolRzvPeMzUoVtCRw1HX+L8fDpkdjkjGuLnBK6/A9u2waxf072/U8D11CkaOhDJljC6RK1aok7tIPpXlXR1FskqjCkWZ0qku9lYLq3af5+1le0nNjORXgQLw9dewciUUK2bUAKtXD778UoUzRURE/iU1Mcp5ihV0YvxLdQAI3nKKTYdvX19OJMfz9TXm7OfPw7ffwmOPGV3c16yB556D0qVh+HA4dszsSEUkGynxJbnaE1U9+KKdH1YLLAo9w/urD2Re04RnnoG9e+GppyAhAV57DVq3hgzcLRcREbmbB+mY7enpedfxf33NyGtm5Dr/vMadxri5ueHi4nLf1xLzNa1Sgq6NywLw5pI9XIpTqQfJxVxcoFMn+OUXOHwYhg6FEiWMefz//R9UqgRNm8L8+cY8X0TyNCW+JNdrXduL8S/+fZfykx8PZ96Le3rC2rUwcSI4OcEPP0Dt2rB6deZdQ0RE8q0H6ZjdqFGjdOMBNmzYkDa+XLlyeHp6phsTGxtLSEjIHV/zTtfZu3dvuu6SGzZswM3NjerVq99XLJK7DHu6KlU8CnEpLpE3l+xWB3bJGypXho8/Nmp9ffcdPP20USNs82bo2BG8vY0b3Hv3mh2piGQRJb4kT3jBvxQfBNYEYPKm40zelInLly0WGDAAQkONpNfFi9CmDfTta7RRFhER+RcGDx7MtGnTmD17NgcPHqRv377Ex8fTrVs3AIKCghg+fHja+IEDB7Ju3TomTJjAoUOHGD16NKGhofTv3x8Ai8XCoEGDGDNmDKtWrWLv3r0EBQXh7e1NYGBg2uuEh4cTFhZGeHg4KSkphIWFERYWRlxcHAAtWrSgevXqdO7cmd27d7N+/XpGjBhBv379cHJyAqBPnz6cOHGCoUOHcujQIb766isWL17M66+/nk2/PclMzg52fNHeF0d7K5sOX+TbP0+bHZJI5nFwgOefN25qnzoF771nbH28etXYHlm7NgQEwLRpcO2a2dGKSGbK8h6TmSC3tCMX80395bitzFurbWXeWm2b8duJzL/AjRs22+uv/90yuUoVm23Hjsy/joiI/Gu5af7w5Zdf2kqXLm1zdHS0NWjQwPbnn3+mPff444/bunTpkm784sWLbZUrV7Y5OjraatSoYVuzZk2651NTU23vvvuuzcPDw+bk5GR78sknbYcPH043pkuXLjbglsemTZvSxpw6dcr29NNP21xcXGzFihWzDRkyxHbz5s10r7Np0yabr6+vzdHR0Va+fHnbrFmzMvSz56b3Kb+Y+fsJW5m3Vtsqv7PWdjgy1uxwRLJOcrLNtm6dzfbiizabvf3fc/wCBWy2Hj1stq1bbbbUVLOjFJHbyMj8wWKz5fw1zLGxsbi7uxMTE6MCqHJPn/90hM9/OgrA/z1fi3YNSmf+RTZsgC5djPbJDg4wZgwMGQJ2dpl/LREReSCaP+QOep9yHpvNRtdZ2/nlyEWqehZiRb+HcXbQHEfyuAsXYM4cmD7dqAv2l5o1oWdPo2ZY0aLmxSci6WRk/qCtjpLnDHyyEq88Vh6A4cv3snzX2cy/SPPmRrfH554z2iK/9RY0awZqyS4iIiK5nMVi4ZOX6lC0gCOHIq8xbl0m1k8VyalKlIA33oCDB+HXXyEoyCiSv28fDBpk1AJr3x42bjQ6RYrIXZ25cp1952LMDgNQ4kvyIIvFwrCnqxLUqAw2GwxZvJs1eyIy/0LFihkFMqdNA1dXo0Bm7dqweHHmX0tEREQkGxUv5MT4l2oDMPOPk2w+fOEeZ4jkERYLPPoozJ4N58/D5Mng6wtJSbBwoXGzu1Il+Ogj43kRuUVySioDF+7i+a+2ZM3f4hmkxJfkSRaLhdFtatC2ng+pNhi4cBc/7o/MigsZS5/DwqB+fYiOhrZtoWtXiI3N/OuJiIiIZJMnqnoQ1KgMAG8s2cPluESTIxLJZoULw6uvwq5dsGOH0dzKzQ1OnIB33jGK4z/7LHz/PSQnmx2tSI7xxcaj7AyPxsneSu1S7maHo8SX5F1Wq4WPnq/Fc34lSU610W/+TjZl1d3KSpXgjz+MD0Cr1bhD5OsLW7dmzfVEREREssHbrapRqURBLsUlMnTpHnJBeWCRrFG3Lnz1lbHKKzgYHnkEUlJg1Sp45hkoUwZGjDCSYiL52Nbjl5m06RgAHz1fC58iriZHpMSX5HF2VgvjX6xN61pe3Eyx8cq3O/jj2KWsudhfRe43bzY++E6eNJZJjx6tO0AiIiKSKzk72DGxvR+OdlY2HrrA3JBws0MSMVeBAkaTq99+gwMHjAZXxYoZCbEPP4QKFYztkAsXQqJWSUr+ciU+iUGLdmGzwcv1StGmjrfZIQFKfEk+YG9n5fN2vjSv7kFScio9Zm8n5MTlrLvgo4/C7t3QsaNxF+i994xjx49n3TVFREREskg1LzfeeroqAGNWH+Bo1DWTIxLJIapVg08+gXPnjDq/LVoYpVA2bjQK4Xt7w+uvw/79ZkcqkuVsNhtDl+4hKjaR8sULMPqZGmaHlEaJL8kXHOysTOrgx+OVi5NwM5XuwdvZcfpq1l3Q3R3mzoV584w6AH/+aWx9DA4GbREQERGRXKZb47I8WqkYicmpvLYwjMTkFLNDEsk5HB3hpZdg/Xpjq+PIkVCqFFy5Ap9/DjVrQuPGMHMmxMWZHa1Ilvj2z9P8dDAKRzsrE9v54epob3ZIaZT4knzDyd6Obzr707hCUeKTUug6cxu7z0Rn7UU7dDBWfz3yiPEh162bUfz+ypWsva6IiIhIJrJaLUx4qQ5FCjhyMCKW8esOmx2SSM5Utqyx4+PUKVizBp57Duztjdq/PXqAlxf07g3bt+uGuOQZByNiGbPmIADDnq5KzZLmF7T/JyW+JF9xdrBjepd6NChbhGuJyXSeEcK+czFZe9GyZY26Xx9+aHzoLVkCtWvDpk1Ze10RERGRTFTCzZlxL9QGYPrvJ/n1yEWTIxLJwezsoFUrWLYMzpyB//s/qFjRuBk+bRo0aGDsCJk0Ca5m4U4UkSx2IymFAQt2kZScyhNVS9Dt4bJmh3QLJb4k33F1tGdmt/rUK/MQsQnJdJwewv7zWZz8srODt9+GLVuMDpDnzsGTT8LQoZCUlLXXFhEREckkzap70KlhaQCGLNnNlXjNY0TuydMT3noLjhwxbn537AhOTrBnDwwYYKwC69TJuFmuVWCSy7y/+gDHLsRRvJAT41+sjcViMTukWyjxJflSQSd7ZnWrj1/pwsTcuEmn6SEcjIjN+gvXrw87d0KvXsaH2vjx0LAhHDyY9dcWERERyQTvtKpOxRIFuXgtkaFL92DTH+oi98digSZNjFrAERHw5ZfGTpDERKM2cNOmULkyfPwxREaaHa3IPa3dG8GCbeFYLPB5W1+KFnQyO6TbUuJL8q1Czg7M7t6AOj6FuXr9Jh2nh3A4Mhu6FBUsCFOnGsueixaFXbvA3x++/lp3eERERCTHc3G044t2vjjaWfnpYBTzt4WbHZJI7vPQQ9C/P4SFwbZtRt2vggXh2DEYNgx8fOD552HtWqNTvEgOc/bqdYZ9tweAPo9X4OGKxUyO6M6U+JJ8zc3ZgTndG1CrpDtX4pPoMO3P7GvR/dxzxvLm5s3hxg149VV45hm4cCF7ri8iIiLygGp4uzP0qSoAfLD6AMcuZNP8SSSvsViMXSHffGOsApsxAxo1guRkWL4cWrc2agaPHGkUzBfJAZJTUhm0MIzYhGTq+BRmcPPKZod0V0p8Sb7n7uLAtz0aUMPbjcvxSbSfFsKxC9nUZtjbG9atg88+M9ogr14NtWrBDz9kz/VFREREHlD3h8vxaKViJNxM5bUFYSQma1WKyL9SsCB0727UBd63DwYNgiJF4OxZ+OADKF8eWrY0mmWpTrCYaOLPxwg9fZWCTvZ82c4PB7ucnVrK2dGJZJPCro7M7RFANS83LsUl0mHanxy/mE3JL6vV+FDbvh1q1DBWfLVqZRS6vHEje2IQERERySCr1cInL9XhIVcHDkTEMuHHI2aHJJJ31Khh3Bw/fx4WLjQaY9ls8OOP8PLLULIkvPGGagVLtvvzxGUm/XwUgA+fq0npoq4mR3RvSnyJ/NdDBRyZ1zOAqp6FuHAtkfZTszH5BUZhy+3b4bXXjO8nTYJ69Yx9/yIiIiI5kIebMx+/UBuAqb+e4Pejl0yOSCSPcXKCtm3hp5/g+HF45x1j18ilSzBhAlSvDo88ArNnw/XrZkcredzV+CReXxRGqg1e9C/Fs74lzQ7pvijxJfIPRf4n+dVu6p/Zt+0RwMUFvvjC2Oro4QEHDkBAgPGhlpqafXGIiIiI3KcWNTzpEFAagMGLw7gary1YIlmifHkYMwZOn4ZVq4z6wHZ28Mcf0LUreHlB375GF3mRTGaz2Xjruz1ExCRQrlgB3numhtkh3TclvkT+R9GCTszv1ZCqnoW4eC2R9tOyOfkF8NRTsHev8WGWlGQsY27RAs6dy944RERERO7DiNbVKF+8ABeuJfLWd3uwqVO1SNaxt4c2bWDlSggPhw8/NJJisbEwZYrRMb5uXfjqK4iONjtaySPmhoTz44EoHOwsfNnejwJO9maHdN+U+BK5jSIFHJnfqyHVvNy4mLbyK5u7FRUvDitWGB9eLi6wcaOxHfK777I3DhEREZF7cHW0Z2I7PxzsLPx4IIpZf5wyOySR/MHbG95+G44eNf5eaNfOaJq1axf062c836UL/PabUSNM5AEciozlg9UHAHjrqarULOluckQZo8SXyB0UKeDI/J5/F7xvNzWEo1HZnPyyWOCVV4zlynXrwpUr8OKL0KMHxGXzKjQRERGRu6hZ0p3hT1cD4KO1B9l28orJEYnkI1YrPPEELFhgFMT//HOjQP6NGzBnDjz2GFSrBp98YjTTErlPN5JSeG3BLpKSU2lSpTjdHy5ndkgZpsSXyF089N/kV/X/Jr/aT/sz+5NfAFWrwtatMGyYkQybORP8/GDbtuyPRUREROQOuj1cljZ1vElOtfHqvJ1ExSaYHZJI/lO0KAwcaJRO2brVuGleoAAcPgxvvml0hHzxRVi/HlJSzI5Wcrgxaw5wJCqOYgWd+OSlOlitFrNDyjAlvkTu4a9ujzW83bgUl0S7qX9yONKE5JejI4wdCz//DD4+cOwYNG5sFLjUB5aIiIjkABaLhY9fqEUVj0Jcikvk1Xk7SUpWgx4RU1gs0LAhTJ8OEREwdSo0aADJyUb5lKeeMmqDvfcenDljdrSSA63bF8G8kHAAPmtbh2IFnUyO6MEo8SVyH/5KftUs6cbl+CTaTd3K/vMx5gTTpAns3m20NU5JgXffhccfh5MnzYlHRERE5B9cHe2Z0tmfQk727Dh9lQ/XHDA7JBEpVAh69YKQEONviQEDoHBhozj+6NFQpgy0agXLlsHNm2ZHKznAuegbDF26B4BXHi/Po5WKmxzRg3ugxNfkyZMpW7Yszs7OBAQEsO0e262io6Pp168fXl5eODk5UblyZdauXftAAYuYpbCrI/N6NKROKXeuXr9Jh2kh7D1rUvLroYeM/ftz5hgfYn/8AXXqwNy5KlopIiIipitXrACftfUFYPbW0yzbedbcgETkb7Vrw8SJRi2wefOMG+s2G/zwA7zwApQqBW+9BUeOmB2pmCQ5JZXXF4YRm5BMnVLuDGlexeyQ/pUMJ74WLVrE4MGDGTVqFDt37qROnTq0bNmSC3cokJeUlETz5s05deoUS5cu5fDhw0ybNo2SJUv+6+BFspu7qwPf9gygbunCxNy4SYfpf7Ir/Ko5wVgs0LmzccemcWO4ds34vkMHtS0WERER0zWr7sFrT1QEYPiyveatlheR23NxMf522LTJSHINGwYeHkbx+3HjoEoVY2fJ3LlGkXzJNyZtOsa2U1co6GTPxPZ+ONrn7s2CFpstY8tDAgICqF+/PpMmTQIgNTUVHx8fBgwYwLBhw24ZP2XKFMaPH8+hQ4dwcHB4oCBjY2Nxd3cnJiYGNze3B3oNkcwUl5hMt1nb2H7qKgWd7AnuVp96ZYuYF1ByMnz0Ebz/vrH9sXRp+PZbo3uLiEg+pflD7qD3KW9LSbXRPXg7vxy5iE8RF77v/wiFXR3NDktE7uTmTVizxqgL9sMPkPrfGn3u7tCpE/TsCb6+poYoWWvbySu0m7qVVBt83taXQL+cuWgpI/OHDKXtkpKS2LFjB82aNfv7BaxWmjVrxtatW297zqpVq2jUqBH9+vXDw8ODmjVr8tFHH5Fyl2LciYmJxMbGpnuI5CQFneyZ3b0BjcoXJS4xmaCZ2wg5cdm8gOztYeRI+P13qFDB2KvfpAm8/TYkJZkXl4iIiORrdlYLX7TzxaeIC2eu3GDQojBSU1WWQSTHcnCAwEBYvRpOnzZurJcpAzExMHmy0Vm+fn345hvQ3+l5TvT1JAYt3EWqDZ6vWzLHJr0yKkOJr0uXLpGSkoKHh0e64x4eHkRGRt72nBMnTrB06VJSUlJYu3Yt7777LhMmTGDMmDF3vM7YsWNxd3dPe/j4+GQkTJFs4epoz8yu9Xm0UjGuJ6XQZdY2/jh2ydygGjaEXbugWzdjn/7YscY2yMOHzY1LRETuKqP1U5csWULVqlVxdnamVq1at9ROtdlsjBw5Ei8vL1xcXGjWrBlHjx5NN+bKlSt07NgRNzc3ChcuTI8ePYiLi0t7fvTo0VgsllseBQoUSBsTHBx8y/POzs6Z8BuRvKSwqyNfd/THyd7K5sMX+Xzj0XufJCLmK1XKaKR14gT8+CO8/LKRGAsNhT59wMsLuneHLVtUZzgPSE5JZcCCXZyPSaBsUVfef7am2SFlmizfqJmamkqJEiWYOnUq/v7+tG3blnfeeYcpU6bc8Zzhw4cTExOT9jij1qqSQ7k42jEtqB5NqhQn4WYq3YO3s+nw7evdZZtChWDmTFiyxCiCv2MH1K0L06bpA0lEJAfKaP3ULVu20L59e3r06MGuXbsIDAwkMDCQffv2pY0ZN24cEydOZMqUKYSEhFCgQAFatmxJQkJC2piOHTuyf/9+NmzYwOrVq/n111/p3bt32vNvvPEGERER6R7Vq1fnpZdeShePm5tbujGnT5/O5N+Q5AU1S7rz0XO1AJi48SgbD0aZHJGI3DerFZo3h0WL4Nw5mDABqlaF69dh1ix4+GGoWRM++wwumbwQQB7YuPWH+e3oJVwc7Pi6kz8FnezNDinTZCjxVaxYMezs7IiKSv9BFRUVhaen523P8fLyonLlytjZ2aUdq1atGpGRkSTdYQuWk5MTbm5u6R4iOZWzgx3fdPanWTUPEpNT6T0nlHX7IswOC158EfbsgSeeMD6UeveG557Th5GISA7z6aef0qtXL7p160b16tWZMmUKrq6uzJw587bjv/jiC5566inefPNNqlWrxgcffEDdunXT6q/abDY+//xzRowYwbPPPkvt2rWZM2cO58+fZ8WKFQAcPHiQdevWMX36dAICAnjkkUf48ssvWbhwIefPnwegYMGCeHp6pj2ioqI4cOAAPXr0SBePxWJJN+5/dwaI/OUF/1IENSoDwKBFYZy6FG9yRCKSYcWLw+DBcOCAUWala1ejSP6BA8Zxb29o2xY2bPi7PpjkeCvDzjH11xMAfPJSHap55a0cTIYSX46Ojvj7+7Nx48a0Y6mpqWzcuJFGjRrd9pyHH36YY8eOkfqP/+iPHDmCl5cXjo4qbCl5g5O9HV93qst/antxM8VGv/m7WLHrnNlhGcuTN2yA8eONZckrV0KtWrB+vdmRiYgID1Y/devWrenGA7Rs2TJt/MmTJ4mMjEw3xt3dnYCAgLQxW7dupXDhwtSrVy9tTLNmzbBarYSEhNz2utOnT6dy5co8+uij6Y7HxcVRpkwZfHx8ePbZZ9m/f/9df2bVcs3fRrSujn+Zh7iWkEyfuTu4npRsdkgi8iAsFmOl16xZEBEBX38N/v5GcfzFi6FFC6P28JgxcPas2dHKXew7F8PQpXsAeLVJBVrX9jI5osyX4a2OgwcPZtq0acyePZuDBw/St29f4uPj6datGwBBQUEMHz48bXzfvn25cuUKAwcO5MiRI6xZs4aPPvqIfv36Zd5PIZIDONhZ+aKdHy/6lyIl1cbri8NYsC3c7LCMpclvvAEhIVCtGkRGwlNPwaBB8I8tLyIikv0epH5qZGTkXcf/9fVeY0qUKJHueXt7e4oUKXLb6yYkJDBv3rxbVntVqVKFmTNnsnLlSubOnUtqaiqNGzfm7F3+yFEt1/zN0d7KVx3rUqygE4cirzHsu71ksMm8iOQ07u5Gza/QUNi5E1591Th26pRRI6xMGWjTxrgJf/Om2dHKP1yOS+SVb3eQmJxKkyrFGdKiitkhZYkMJ77atm3LJ598wsiRI/H19SUsLIx169alTa7Cw8OJiPh7m5ePjw/r169n+/bt1K5dm9dee42BAwcybNiwzPspRHIIO6uFcS/UpnPDMthsMHzZXmb+ftLssAx+fsaH0V9J5y++MDqy7N1rblwiIpLjLV++nGvXrtGlS5d0xxs1akRQUBC+vr48/vjjLFu2jOLFi/PNN9/c8bVUy1U83JyZ3MEPO6uFVbvPM+uPU2aHJCKZxc/P6P54/jzMmQOPPWZseVy92ugWWbq00Xn++HGzI833bqak0m/+Ts5F36BcsQJ80c74/3Je9EDF7fv378/p06dJTEwkJCSEgICAtOc2b95McHBwuvGNGjXizz//JCEhgePHj/P222+nq/klkpdYrRbef7YGrzxWHoD3Vx9g8qZjJkf1X66uMGmS8cFTogTs22ckv774QnvwRURM8CD1U/+qt3Wn8X99vdeY/y2en5yczJUrV2573enTp/Of//znnvW7HBwc8PPz49ixO3/uqZarAASUL8rbraoB8NHag2w7ecXkiEQkU7m6QufO8MsvcOgQvPmmUR8sMtLoPF+xolGLeMEC7UIxyYdrDvLniSsUdLJnWpA/7i4OZoeUZbK8q6NIfmSxWBj2dFUGNasEwPj1hxm//lDOWcrfurVR+L5VK0hMNLY9Pv20sT9fRESyzYPUT23UqFG68QAbNmxIG1+uXDk8PT3TjYmNjSUkJCRtTKNGjYiOjmbHjh1pY37++WdSU1PT3dAEo2bYpk2bbtnmeDspKSns3bsXL6+8Vx9EMl/3h8vyTB1vklNtvDpvJ1Gx+uNXJE+qUgXGjTNqfS1dapRdsVhg0ybo0MEoiD9woHaiZKPFoWcI3nIKgE9frkPFEoXMDSiLKfElkkUsFguDmlVm+NNVAZi86TijV+0nNTWHJL88PIyVX5Mng7Mz/PijUfh+5UqzIxMRyVcyWj914MCBrFu3jgkTJnDo0CFGjx5NaGgo/fv3B/77+TNoEGPGjGHVqlXs3buXoKAgvL29CQwMBIwO20899RS9evVi27Zt/PHHH/Tv35927drh7e2dLr6ZM2fi5eXF008/fUvs77//Pj/++CMnTpxg586ddOrUidOnT9OzZ88s+m1JXmKxWPi/F2pR1bMQl+ISeXXeTpKStQJdJM9ydIQXXoAffjDqf40eDT4+cPUqTJwItWtDw4YwfTpcu2Z2tHnWrvCrjFi+D4BBzSrRosbtV5jnJUp8iWSxVx6vwAeBNbFYYPbW07yxZDfJKTlkUmexGMUnd+wAX1+4fNnYe//KKxCvFuMiItkho/VTGzduzPz585k6dSp16tRh6dKlrFixgpo1a6aNGTp0KAMGDKB3797Ur1+fuLg41q1bh7Ozc9qYefPmUbVqVZ588klatWrFI488wtSpU9PFlpqaSnBwMF27dr1tmYqrV6/Sq1cvqlWrRqtWrYiNjWXLli1Ur149s39Nkke5OtozpZM/hZzt2XH6Kh+uOWB2SCKSHUqXhlGj4ORJIxH2/PNgb2805OrVC7y8oGdP4/ucsmsmD7hwLYE+c3eQlJJK8+oevPZEJbNDyhYWW47Ze3VnsbGxuLu7ExMTozoQkmst33WWN5bsISXVRovqHnzZwQ8n+xxU6y4xEUaMgE8+Mb6vXBnmzYN/tLoXEclNNH/IHfQ+CcDGg1H0mB0KwGdt6/CcXymTIxKRbBcVZRTEnz4djhz5+3jNmkYSrHNnKFLEvPhyuaTkVNpP+5Mdp69SsURBlr/amELOubeuV0bmD1rxJZJNnvMrxZRO/jjaW/nxQBQ9gkOJT0w2O6y/OTnB+PHw009QsqTxYdOokVF8MiXF7OhEREQkD3uymgevPVERMLpi7z8fY3JEIpLtPDyMIviHDhlF8Tt3Nkqy7Ntn1CT29jZqgv38sxpzPYBRq/az4/RVCjnbMy2oXq5OemWUEl8i2ah5dQ+Cu9bH1dGO349dotOMEGKu3zQ7rPSefNIofP/CC5CcbLQbfuIJOH3a7MhEREQkDxvYrDKPVy5Ows1U+szdQfT1JLNDEhEzWCzw2GPG6q+ICKMmsa+vsUNlwQLj75XKlY0b9GrOdV/mhZxmwbZwLBaY2N6PcsUKmB1StlLiSySbNa5YjHk9A3B3cWBXeDRtp27l4rVEs8NKr0gRWLIEZs6EggXh11+hTh3jg0ZEREQkC9hZLXzRzhefIi6cuXKDQYvCck5TIBExR+HCRk3inTshNBT69IFCheD4ceMGvY+PUaN49Wrjpr3cYvupK4xetR+AN1tWoWmVEiZHlP2U+BIxgV/ph1j0SkOKF3LiUOQ1XpqyhTNXrpsdVnoWC3TrBmFhEBAAMTHG0uLOnY1/i4iIiGSywq6OTOnkj5O9lc2HL/LphiP3PklE8j6LBfz94euvjVVes2bBww8bJVlWroQ2baBMGaNm8cmTZkebY0TE3KDv3J3cTLHRurYXfR+vYHZIplDiS8QkVT3dWPJKI0o95MKpy9d54estHIqMNTusW1WoAL/9BiNHgtUKc+caq79+/93syERERCQPquHtztjnawEwadMxFm8/Y3JEIpKjFCgAXbsaf4/s3w+DB0PRonD+PHz4IZQvD82bw6JFxvbIfCrhZgp9vt3BpbhEqnoWYvyLtbFYLGaHZQolvkRMVLZYAZb2aUxlj4JcuJbIy1O2Enrqitlh3crBAd57z9jyWLasUe/r8cfh3XfhZg6rUSYiIiK53vN1S9G/6X+L3S/fyy9HLpockYjkSNWrw4QJcO6ckehq3tw4/tNP0K6d0bRr8GA4cMDcOLOZzWbjneX72H02hsKuDkwLqoero73ZYZlGiS8Rk3m6O7P4lUb4l3mI2IRkOs0I4edDUWaHdXsPPwy7d0NQkNFJZcwYeOQROHbM7MhEREQkjxnSojLP+ZUkJdXGq3N3qNOjiNyZkxO8/DL8+COcOGHcoC9ZEi5fhs8+gxo1jL9lZs2C+Hizo81ywVtO8d3Os1gtMLlDXXyKuJodkqmU+BLJAQq7OjK3RwBNqhidjHrN2cHyXWfNDuv23Nxg9mxYuBDc3WHbNqPLysyZYFMBWhEREckcFouFj1+oTaPyRYlPSqF78HbOR98wOywRyenKlYP334dTp4yi94GBYGcHW7ZA9+7g5WUUyQ8NzZN/v2w5fokxaw4C8HarajxcsZjJEZlPiS+RHMLF0Y5pQfUI9PUmJdXG64t2M+P3HFyYsW1b2LPH2PIYHw89esCLLxp3VUREREQygaO9lSmd/alUoiBRsYl0m7Wd2ASVWRCR+2BvD61bw/LlcOYMjB1r1C++dg2++Qbq1wc/P5g0Ca5eNTvaTHHmynX6zdtJSqqN5/xK0uORcmaHlCMo8SWSgzjYWfn0ZV+6Ni4LwAerDzBu3SFsOfVOROnSsHGj8SFibw/LlkHt2saeehEREZFM4O7iQHD3BpQo5MThqGv0nbuDpORUs8MSkdzEywuGDYMjR2DTJqNbvZOTUcZlwADw9ja61//yS65dBXYjKYVXvt3B1es3qVXSaBKSX4vZ/y8lvkRyGKvVwqg21RnSvDIAX20+ztCle7iZkkMneHZ2xofIn39ClSpGN5XmzeGNN/J1FxURERHJPCULuzCza31cHe3449hlhi3bk3NvDIpIzmW1QpMmMG+e8XfLxIlQqxYkJBjd65s0Mf6mGTcOonJo3eXbsNlsDP1uDwciYilawJFvOvvj7GBndlg5hhJfIjmQxWJhwJOVGPt8LawWWLLjLL3mhHI9Kdns0O7M3x927DD2y4PRXSUgwGgxLCIiIvIv1SzpzuSOdbGzWli28xyf/XTU7JBEJDcrUsRY7bV7N4SEQK9eULAgHD0Kb70FpUrB88/DDz9ASorZ0d7VlF9O8P3u89hbLXzVsS7ehV3MDilHUeJLJAdr36A033Suh5O9lc2HL9J+6p9cjsvBq6gKFICvv4aVK6FYMeNDpF49Y9+87sqKiIjIv9S0SgnGBNYEYOLGoyzefsbkiEQk17NYoEEDmDoVIiJg+nRo2BCSk436YK1aQdmyMGoUnD5tdrS3WL7rLB+vOwTAqDbVCShf1OSIch4lvkRyuObVPZjfK4DCrg7sPhvDi1O2En75utlh3d0zz8DevdCypbFseMAA+M9/ctVyYREREcmZ2jcoTf+mFQEYvnwvvxy5aHJEIpJnFCxoNO3autX4e2bgQGNl2NmzRqfIcuXgqadg6VJISjI7Wn45cpE3l+wBoMcj5ejUsIzJEeVMSnyJ5AL+ZYqwtE9jShZ24eSleJ7/egv7zsWYHdbdeXrC2rXwxRdG4ci1a43986tXmx2ZiIiI5HJDWlTmOb+SpKTaeHXuDvafz+HzIhHJfWrWhM8/h3PnYMECeOIJYxfL+vXw0kvGVsg334RDh0wJb/eZaPrO3UFyqo1nfb15p1U1FbO/AyW+RHKJiiUKsuzVxlT1LMSluETafrOV347m8DucViu89hqEhhpJr4sXoU0bePVVuJ7DV62JiIhIjmWxWPj4hdo0Kl+U+KQUugdv53z0DbPDEpG8yNkZ2rUzutkfOwZvv210ibx4ET75BKpVg0cfhTlzsu1vnBMX4+gWvJ3rSSk8WqkY41+sg9WqpNedKPElkot4uDmzuE+jtElet1nbWRKaC2pb1KwJ27bB668b33/9tVEMf9cuc+MSERGRXMvR3sqUzv5UKlGQqNhEus7aRsyNm2aHJSJ5WYUK8OGHEB5u1DVu08a42f/779Cli5EQe/VV2Lkzy0K4EJtA0MxtXIlPolZJd77u5I+jvVI7d6Pfjkgu4+bsQHD3+rSp401yqo03l+7h85+O5PyW3s7O8OmnxtJgLy9jSXBAgNEqODXV7OhEREQkF3J3cSC4ewNKFHLiSFQcfefuIClZ8woRyWL29kZd41WrjCTYmDFG/a/Y2L9v8vv7G/+Oybyt2LEJN+kyaztnr96gbFFXZnWrT0En+0x7/bxKiS+RXMjJ3o4v2vrSt0kFAD7/6ShvLt3DzZRcMNFr0QL27IHAQLh502gV3KwZnMkFK9dEREQkxylZ2IWZXevj6mjHluOXGfbdnpx/Q1BE8o6SJeGdd4xtkD/9BG3bgqOjserr1VeNm/5duxqrwv7F/5sSbqbQe04oByNiKVbQiTndAyhW0Cnzfo48TIkvkVzKarXw1lNV+fC5mlgtsHTHWboHb+daQi5Y4l+sGCxbBtOmgasrbNoEtWvDkiVmRyYiIiK5UM2S7kzuWBc7q4Vlu87x2YYjZockIvmN1QpPPgkLFxoF8T/7DKpXhxs3YPZsow5YtWpGXbCLGavVnJJqY/DiMP48cYWCTvYEd6tP6aKuWfSD5D1KfInkch0DyjC9Sz1cHe347eglXpqylYiYXFDc1WKBnj2NOl/16kF0NLz8snE35No1s6MTERGRXKZplRKMCawJwMSfj7Foe7jJEYlIvlWsGAwaBPv2wZYt0L27ccP/8GGjE2TJkkZnyB9/vH3Zl5QU2LwZFizAtmkTo1fuY+3eSBztrEzt7E/Nku7Z/RPlakp8ieQBT1T1YFHvRhQv5MShyGs8N3kLB87Hmh3W/alc2fgweOcdIxk2ezb4+sLWrWZHJiIiIrlM+wal6d+0IgBvL9/HL0dyeAdsEcnbLBZo1AhmzICICPjmG6hf3yj5snQptGwJ5cvD++//Xfpl2TIoWxaaNoUOHZj0zjd8GxKOBRuftq1D44rFTP2RciMlvkTyiFql3Fn+amMqlihIZGwCL03ZwqZDF8wO6/44OBgFIX/5BUqXhhMnjKXA770HyclmRyciIiK5yJAWlXnOryQpqTZenbuD/eczr7C0iMgDc3OD3r2NbvdhYdC/PxQuDKdPw6hRRrLL3x9eeAHOngVgYe0WTHisMwCjfprKf479aVr4uZkSXyJ5SKmHXPmuT2MalS9KfFIKPWZvJ/iPk2aHdf8efRR274YOHYzlvaNHw2OPGYkwERERkftgsVj4+IXaafOhbrO2cy46F5SBEJH8o04d+PJLOH8e5s6FJk2MLY87d6YNOVnYi68DXgCg35ZFdN252tg+mZJiTsy52AMlviZPnkzZsmVxdnYmICCAbdu23dd5CxcuxGKxEBgY+CCXFZH74O7qwOzuDWhbz4dUG4z+/gCjVu4jOTd0fATjrse8ecYHgJubseXR1xfmzPlXXVBEREQk/3C0tzKlsz+VShTkwrVEus3aRvT1JLPDEhFJz8UFOnaENWuMbvf/UC46gtWzB9E1dCVv/Pat8bfQmTPw228mBZt7ZTjxtWjRIgYPHsyoUaPYuXMnderUoWXLlly4cPctVadOneKNN97g0UcffeBgReT+ONpb+b8XajHs6aoAzN56mp5zQnNHx8e/dOxorP565BGj2H2XLtCuHVy9anZkIiIikgu4uzgQ3L0BJQo5cSQqjo7TQ4i5novmQiKSN6WkGEXvZ86EPn3Az8+44f/xx7cMPevuwYiN07H882BERLaFmldYbLaMLaEICAigfv36TJo0CYDU1FR8fHwYMGAAw4YNu+05KSkpPPbYY3Tv3p3ffvuN6OhoVqxYcd/XjI2Nxd3dnZiYGNzc3DISrki+t25fBIMWhZFwM5UqHoWY0bUepR7KRa1vU1KMD4FRo4x6X6VKGau/mjY1OzIRyeE0f8gd9D5JVjsSdY32U//kcnwStUq6M7dnAO4uDmaHJSL5gc1m1OsKCTFqe23bBqGhEB9/69giRbgRG0ewfxt+K+uH1ZbKtGUf4pKcmH7cpk3G1sh8LiPzhwyt+EpKSmLHjh00a9bs7xewWmnWrBlb79KB7f3336dEiRL06NHjvq6TmJhIbGxsuoeIPJinanqx+BWj4+PhqGsETt7CrvBctGrKzg7eftvo/FipkvHB8eSTxlLgJG1ZEJG8IaNlJJYsWULVqlVxdnamVq1arF27Nt3zNpuNkSNH4uXlhYuLC82aNePo0aPpxly5coWOHTvi5uZG4cKF6dGjB3FxcWnPnzp1CovFcsvjzz/TF9a9VywiZqvsUYh5vQIoUsCRvediCJq5jdjctApeRHKP6GjYsAE+/BCefRa8vY3mXS+9BOPHG8284uOhYEEjefXWW/Ddd3DmDNEnz9Cm52Q+btKNCwWLMGnVuPRJL4sFfHyMusiSIRlKfF26dImUlBQ8PDzSHffw8CAyMvK25/z+++/MmDGDadOm3fd1xo4di7u7e9rDx8cnI2GKyP+oXaowK/s9TFXPQlyKS6Tt1D9ZGXbO7LAypn59o9hjz57GnZNx44zWwIcOmR2ZiMi/ktEyElu2bKF9+/b06NGDXbt2ERgYSGBgIPv27UsbM27cOCZOnMiUKVMICQmhQIECtGzZkoSEhLQxHTt2ZP/+/WzYsIHVq1fz66+/0rt371uu99NPPxEREZH28Pf3z1AsIjlBVU835vYIoLCrA7vPRNNl5rbcVQJCRHKexERjBdekSRAUBFWrwkMPQYsWMGIErFoFkZFgbw916xrbGmfONLY5RkcbK7f+7//g+ee5UcKL7nN3cczdC89rl5izZBSFE/6+GYXlv5sdP//cWBggGZKhrY7nz5+nZMmSbNmyhUaNGqUdHzp0KL/88gshISHpxl+7do3atWvz1Vdf8fTTTwPQtWvXe251TExMJDHx78xmbGwsPj4+WgIv8i/FJSYzaOEufjpo/DH1apMKvNGiClar5R5n5jDLlxsJsCtXjIKQn34Kr7zy9weCiAi5ZwtdRstItG3blvj4eFavXp12rGHDhvj6+jJlyhRsNhve3t4MGTKEN954A4CYmBg8PDwIDg6mXbt2HDx4kOrVq7N9+3bq1asHwLp162jVqhVnz57F29ubU6dOUa5cOXbt2oWvr+9tY79XLPcjt7xPkjfsPx9Dh2khxNy4iX+Zh5jdvQEFnezNDktEcrrUVDh69O/tiiEhEBYGN2+TQK9QARo0+Pvh52f8zXIHySmpvPLtDjYeuoCbsz1LK16n8vDXjJ0uf/HxMZJezz+f6T9abpVlWx2LFSuGnZ0dUVFR6Y5HRUXh6el5y/jjx49z6tQp2rRpg729Pfb29syZM4dVq1Zhb2/P8ePHb3sdJycn3Nzc0j1E5N8r6GTPN53r0bdJBQC+2nycV+buIC4x2eTIMui552DvXmjWDG7cgL59jaXE92iyISKS0zxIGYmtW7emGw/QsmXLtPEnT54kMjIy3Rh3d3cCAgLSxmzdupXChQunJb0AmjVrhtVqveVG5jPPPEOJEiV45JFHWLVqVYZiuR2VtBAz1fB2Z17PANyc7dlx+irdZm0jPrfNg0Qk60VGGiu23nkHmjeHIkWMFV1BQcYKr+3bjaRXsWLQqhWMHg1r18LFi3DsGMyfD4MGQePGd0162Ww23l6+l42HLuBkb2Vm1/pU7vQcnDplrAibP9/4evKkkl7/QoZubzg6OuLv78/GjRsJDAwEjLuSGzdupH///reMr1q1Knv37k13bMSIEVy7do0vvvhCWxhFTGBntfDWU1Wp7FGQt77by4YDUbzw1Ramd6mHT5FcVPTe2xvWr4cvvoBhw+D776F2bZg1C/67wlREJKe7WxmJQ3fYyh0ZGXnXshN/fb3XmBIlSqR73t7eniJFiqSNKViwIBMmTODhhx/GarXy3XffERgYyIoVK3jmmWfuK5bbGTt2LO+9994dnxfJajVLuvNtjwA6zQhh+6mrdAveTnC3+rg6auWXSL4UFwc7dqQvQH/mzK3jnJ3B3//vlVwBAVC27L/adfLJj4dZHHoWqwUmdahLvbJFjCfs7FTAPhNl+P/ugwcPpkuXLtSrV48GDRrw+eefEx8fT7du3QAICgqiZMmSjB07FmdnZ2rWrJnu/MKFCwPcclxEstdzfqUoU7QAvefs4HDUNZ6d/Adfd6xLQPmiZod2/6xWeP11eOIJ6NgR9u837rgMGGB0grzL3RUREbm7YsWKMXjw4LTv69evz/nz5xk/fnxa4utBDB8+PN3r/lXSQiQ71fEpzJzuDQiasY1tJ6/QIziUmV3r4+Ko2jkiedrNm0aNrb8SXNu2wYEDxlbGf7JYoEaNvxNcDRoY3ztkXkfYiRuPMnmTsQvuo+dq0by6xz3OkAeV4cRX27ZtuXjxIiNHjiQyMhJfX1/WrVuXdrcvPDwcqzVDOyhFxCR1Sz/Eqv4P0/vbUPadi6XTjBDef7Ym7RuUNju0jKlTx1hu/NZb8OWXxuPnn2HePOM5EZEcKqNlJAA8PT3vOv6vr1FRUXh5eaUb81etLk9Pz1uK5ycnJ3PlypU7XheMemQbNmy471hux8nJCScnpzs+L5Jd/Eo/RHD3BgTNCGHricv0mhPK9C71cHZQ8kskT7DZjC2C/0xy7dxplEr5Xz4+fye4GjQwitEXKpRFYdmY8OMRJm06BsDQp6rQLrf9/ZXLPFCGqn///pw+fZrExERCQkIICAhIe27z5s0EBwff8dzg4OC7FrYXkezlXdiFJa80pnVtL26m2Bi+bC9vL99LUnLqvU/OSVxcYOJE+OEH8PAwVn81aGAUvv/fOzgiIjnEP8tI/OWvMhL/bCT0T40aNUo3HmDDhg1p48uVK4enp2e6MbGxsYSEhKSNadSoEdHR0ezYsSNtzM8//0xqamq6ed3/CgsLS5dMu1csIjndXwXuXR3t+P3YJXrNCSXhZorZYYnIg7h0yfhb4L33oHVrKFHCKDTfvj189hn88YeR9HJ3N+p2vfMOrFwJ589DeDgsWQJvvgmPP56lSa+xPxxKS3q906oarzapmCXXkr9pI7uI4OJox6T2flTzLMSEDUeYHxLOkchrfNWpLiUKOZsdXsY89ZRR+L5HD6Pu15AhxgdgcDCULGl2dCIit8hIGQmAgQMH8vjjjzNhwgRat27NwoULCQ0NZerUqQBYLBYGDRrEmDFjqFSpEuXKlePdd9/F29s7rUZrtWrVeOqpp+jVqxdTpkzh5s2b9O/fn3bt2uHt7Q3A7NmzcXR0xM/PD4Bly5Yxc+ZMpk+fnhb7vWIRyQ3qlS1CcLcGdJm5jd+OXuKVb3fwTWd/rfwSyclu3IBdu9LX5Tpx4tZxjo7g65u+y2KlSkbJlGxms9l47/sDBG85BcDoNtXp+nC5bI8jP7LYbDab2UHci9pci2Sfnw9FMXBhGNcSkvFwc2JKJ3/8Sj9kdlgZZ7PB1KlGDbAbN4xOLNOmqRuKSD6Sm+YPkyZNYvz48WllJCZOnJi28qpJkyaULVs23Yr6JUuWMGLECE6dOkWlSpUYN24crVq1SnveZrMxatQopk6dSnR0NI888ghfffUVlStXThtz5coV+vfvz/fff4/VauWFF15g4sSJFCxYEDASXx9//DGnT5/G3t6eqlWr8uabb/Liiy+mi/1esdxLbnqfJG/bevwy3YK3kXAzlSeqluDrTnVxslfyS8R0KSlw8GD6LYt79hjH/1eVKunrctWuDTlge31qqo13VuxjwbZwLBb4MLAWHQK0vfHfyMj8QYkvEbnFiYtx9P52B8cuxOFoZ2VMYE1erp9LCw8fOmQUvt+50/i+Rw/4/HP47x92IpJ3af6QO+h9kpxky7FLdAveTmJyKs2qleCrjv442qt+sUi2sdng7Nn0Sa7QUKPz4v/y8DASXH8luerVg/8208tJUlJtvPXdHpbuOIvFAuNeqM1L9XLp31Y5iBJfIvKvxSUmM3hRGD8eMIoWd25Yhnf/Uz13Tv6SkmDkSBg3zvgwrVjRKHzfoIHZkYlIFtL8IXfQ+yQ5ze9HL9FjtpH8alHdg8kd6+JglwvnPyK5QXS0kdj6K8kVEgKRkbeOK1AA6tdPv2WxVCmj+2IOlpySypAlu1kZdh47q4VPX67Ds74qv5IZlPgSkUyRmmpj0qZjfLrhCAD1yjzE5I518XDLZXW//rJ5M3TubNxFsrMzCl8OG2b8W0TyHM0fcge9T5IT/XrkIj3nhJKUnMpTNTz5soOfkl8i/1ZiorFF8a8E17ZtcPjwrePs7Iwtiv9MclWrluvm7DdTUhm4cBdr90Zib7Uwsb0frWp53ftEuS9KfIlIpvrpQBSvLwrjWmIyxQo68mX7ujSqUNTssB7M1avQpw8sXmx8/8gj8O23ULasqWGJSObT/CF30PskOdWmwxd4Zc4OklJSaV3Liy/a+WKv5JfI/UlNhWPH0hefDwszdmL8r/Ll0ye5/PzA1TXbQ85Mickp9Ju3i58ORuFoZ2Vyx7o0r+5hdlh5ihJfIpLpTl2Kp8/cHRyKvIad1cLQllXo/Vh5LDl8efFt2WxGsqt/f7h2Ddzc4KuvjFpgIpJnaP6QO+h9kpxs48Eo+szdwc0UG23qePPZy3WU/BK5ncjI9HW5tm83tjH+r6JF/05wBQQY2xeLFcv2cLNSws0UXvl2B78cuYiTvZVvOvvTpEoJs8PKc5T4EpEscSMphXeW72XZrnMAPFXDk/Ev1aaQs4PJkT2gkyehUyfYssX4vn17IwGWA4tiikjGaf6QO+h9kpxuw4EoXp1nJL+e9fXm05d9sbPmwht/IpklLg527Eif6AoPv3WcszPUrft38fkGDaBcuRxfl+vfuJ6UTK85ofxx7DLODlZmdKnPwxXzVmIvp1DiS0SyjM1mY25IOO9/v5+bKTbKFSvAlE7+VPEsZHZoDyY5GT76CN5/32iJXLq0sRrsscfMjkxE/iXNH3IHvU+SG6zfH0m/eTtJTrXRurYXn75cByf73FVvSOSBJCfDvn3pk1z79xtbGf/JYoHq1dMnuWrWBIdceoP8AcQlJtN91na2nbpCAUc7ZnatT0D5XFoeJhdQ4ktEslzYmWhenbuD8zEJuDjY8dHzNXnOr5TZYT24P/80tjqeOGF8cA8fDqNH56sPa5G8RvOH3EHvk+QWP+yN4LWFu7iZYiOgXBGmdq6Hu6vmCZKH2Gxw6lT6Dos7d8KNG7eO9fFJX5fL3x8K5dIb4ZkgNuEmXWduY2d4NIWc7Anu3gD/Mg+ZHVaepsSXiGSLK/FJvLZgF78fuwRA23o+jH6mBi6OufQO6LVr8NprEBxsfF+vHsybB5UrmxqWiDwYzR9yB71Pkpv8cewSfb7dwbXEZCqVKMisbvUp9VDuLsIt+djly+lXcm3bBpcu3TrO3d2oxfXPRJeXuhP+Jfp6EkEzt7HnbAzuLg5826MBtUsVNjusPE+JLxHJNimpNiZuPMrEn49is0EVj0JM7liXiiUKmh3ag1uyBF55xegA6eoKn38OPXvm6XoEInmR5g+5g94nyW0ORsTSbdZ2ImMTKFHIiVnd6lPD293ssETu7sYN2LUrfZLr+PFbxzk4gK9v+gL0lSqBVU0dbudyXCKdZmzjYEQsRQo48m2PBvr/QTZR4ktEst0fxy4xcGEYl+IScXW046PnahHoV9LssB7c2bMQFASbNhnfBwbCtGl5ruuMSF6m+UPuoPdJcqPz0TfoOmsbR6LiKOBox9ed/HmscnGzwxIxpKTAoUPpk1x79hj1uv5X5crp63LVqQNOTtkfcy504VoCnaaHcCQqjmIFnZjfK4DKHvl3u2d2U+JLRExx4VoCAxeEsfXEZSAPbH1MTYUJE+Cdd+DmTWNJd3AwtGhhdmQich80f8gd9D5JbhVz4yZ9vt3B1hOXsbda+L8XavOify6udyq5k80G586lr8sVGmp0XvxfHh7pk1z16sFDqkP1ICJjEugw/U9OXIzHw82J+b0aUqF4Lt7xkgsp8SUiprn91kc/KpbIxXc/du0yCt8fPGh8P2gQjB1rtGgWkRxL84fcQe+T5GaJySkMXbqHlWHnARjSvDL9n6iIReURJKvExBiJrZCQv5NdERG3jitQwEhs/bMul4+PSndkgnPRN+gw7U9OX75OycIuzO8VQJmiBcwOK99R4ktETGdsfdzFpbgknB2sjGpTg3b1fXLvRPD6dXjzTfjqK+P7WrVg/nyjTbOIPJCbKalciU/Cwy1rksiaP+QOep8kt0tNtTH+x8N8vfn/27vv8Kiq9IHj35n0hPTeIAkQOqEmIEoz0lmauwoqiG1VsKHrDxQE1BVBV1BBwYKgC6isCHZFOhha6C1AElpID+l95v7+uGRgSIAEMplM8n6eJ0+YO3dmzj033Lx57znvUesljY0M5o0R7bG2kppI4jaVlqpTFK9Ocp04UXk/Kys1Nr26LlebNup2UasOns/m8S/3kpZXQrCHA6se7yELXJiJJL6EEPVCWm4xU749aFj1cUgHP+aM6mjZS3//9BM88gikp6v1D+bOhWeekYKfQtRQUamOp1fEkpBRwP+evANv59qvJyLxg2WQ8yQaiq9izjDzh6PoFejXypuF47rgZGdt7mYJS6EocOqUcV2u/fvV5Ne1QkONk1ydO6sLMgmT+unQRV789iAl5XrCfZuw/JFI/F0dzN2sRksSX0KIekOvV/hkWwLv/h5HuV4hwNWe98d2pnuIh7mbdutSU9Xk1y+/qI8HDoQvvpBlnYWoppyiMh5dtoe9Zy9hZ63li4nduaN57S8cIfGDZZDzJBqSP46m8OzX+yku09MxyJXPJ3Q3SWJfNACpqcZJrt27ITu78n4eHlcSXJGR0L07eMtCCnVJURQ+2HCa+X+eBNTE9gdjO+Nsb8E38xsASXwJIeqdg+ezefbr/ZzNLESrgWf6t+SZ/i0sdxqAoqjTHl96CYqL1dUeP/sMRowwd8uEqNfScosZv3Q3J1LycLa3ZunD3U2WCJf4wTLIeRINzb5zl3hs+V6yCkoJ9nBg+cRIwqTodeOWnw/79hkXoD93rvJ+9vbQpYtxXa6wMKnLZUbFZTr+9b9D/HhQreP36J2hvDKkDVZaOSfmJokvIUS9lF9SzmvrjrBmXxIA3Zq5M/++TgR7WPDQ7GPHYNw4OHhQffzPf6orQTpJgUshrnUus5AHP9/FuaxCvJrY8dWjkbTxN93vdYkfLIOcJ9EQJWYU8PAXuzmbWYi7ow2fTehG12YWPNpdVF95ORw9eiXBtXu3+livN95Po4G2bY2TXB06gI2MIqov0nKLefyrWA6ez8Zaq+GNke0ZG9nU3M0Sl0niSwhRr607kMSr3x8hv6ScJnbWzP5bO0Z3CbTcwvclJTB9Orz7rvo4PFwtfN+1q3nbJUQ9cjw5l/FLd5N+uRjsfx81/QpIEj9YBjlPoqHKyC/h0eV7OXg+GztrLe/f35lB7f3M3SxRmxQFzpwxnq4YGwtFRZX3DQoyTnJ16wbOFrzqeQN39GIOjy3fS3JOMW6ONnz8QFd6Nvc0d7PEVSTxJYSo985lFvLCtweIPXsJgMHt/fj3qA54ONmauWW3YcMGmDABkpLA2hreeENdCVJW1BGN3N4zWTyybA+5xeW09nPmy0ci8THRSo5Xk/jBMsh5Eg1ZYWk5z67az5/H09BoYNbwdky4I8TczRK3KjMT9uwxTnSlp1fez8VFrcVVUZure3cICKj79opb8vvRFJ7/+gBFZTrCvJ1YOqE7IV4ym6O+kcSXEMIi6PQKi7fEM3/9Scr1Ct7Odsy7tyP9WvmYu2m3LisLnngCvvtOfdynD3z5JTSVYdGicdp0Io2nVsRSXKanWzN3Pp/Qvc5WdpX4wTLIeRINXblOz8wfjrJil1rT6YneYUwd1Bqt1Aiq34qK4MAB47pc8fGV97OxgYiIK8XnIyPV0f+y4rfFURSFxVsSmPf7CRQF7mrpxcJxXXB1kOmn9ZEkvoQQFuVIUg7Pf3OA02n5ADwQ1ZRXh7bB0dZClwBXFFi2DJ55BgoKwNUVFi+G++83d8uEqFMrdp3ltXVH0ekV+rXy5qMHuuJgW3cjICV+sAxynkRjoCgKH2+JZ95vcQAM6+jPf/4RgZ21jAqvF3Q6iIszrst16JBar+ta4eHGUxYjItSi9MKilZTrmLbmsKEW8UM9mjFzeFvLXYirEZDElxDC4hSX6Zj3WxxLdyQCEOrlxLt/j6BrM3czt+w2nD4NDz6oBlAADz0ECxeqw9+FaMD0eoW3fzvBJ1sTABjTJYi3x3TApo6DR4kfLIOcJ9GYfL//Ai//7xBlOoXIUA8WjeuCt7OduZvV+CQlXUlw7d4Ne/dCXl7l/Xx8jEdydesGHrJIQUOTmV/CP7+KZe/ZS1hpNcwc3pbxPUPM3SxxE5L4EkJYrB2nM3hp9UGSc4rRaOCxO0N5cUAr7G0s9I5oWZla6+vf/1ZX8wkJgf/+F3r1MnfLhDCJolIdL3xzgN+OpgDw4j3hTO7fwiyLV0j8YBnkPInGZsfpDJ78Kpa8knK8ne344P7OUjTblHJy1MTW1XW5Ll6svJ+jo5rYqkhyRUVBcLC6+qJosOJS8nh0+R4uXCrC2d6aReO60Dvc29zNEtUgiS8hhEXLKSxj9k9HDUONw7yceOfvHS17GfAdO9TRX2fOqDUfXn0VZsyQJatFg5KeV8JjX6ormNlaaXnn7x0Z0SnQbO2R+MEyyHkSjdHptHyeXhHLydR8tBp4ITqcp/u1wErqft2e0lJ1iuLVSa4TJ9QyFFezsoL27a8kuCIjoU0bdXEi0WhsOpHGM6v2k19STjNPRz6f0I0WPrLSpqWQxJcQokHYcDyVaWsOk5ZX0jBGf+XkqHW/vvpKfRwVpY7+atHCvO0SohacSs3j4S/2kJRdhJujDZ881I3IUPMmqyV+sAxynkRjVVSqY+YPR/h27wVALaQ9/75OeDWRqY/VoihqWYmrk1z790NJSeV9Q0KMpyx27gxOskpfY6UoCp9vT+StX46jVyAq1IPFD3bF3ZJXl2+EJPElhGgwcgrLeP2nY3y3Tw0KG8Tor6+/hiefVBNhTk7w4Yfw8MMylF5YrO2nMnhqRSx5xeWEeDryxcRIQuvBst8SP1gGOU+isfsu9gLT1x6hqEyHj7MdH4ztTI8wmfpYSWoq7NlzpQD9nj1w6VLl/Tw8jIvPd++u1uoSAigt1zPzhyOs2n0egPu7B/P6iPbYWksRe0tj8sTXokWLeOedd0hJSSEiIoIPP/yQyMjIKvf99NNP+fLLLzly5AgAXbt25a233rru/lWRgEgIsfGEOvorNVcd/TWhZwgvDWxFEzsLHZJ+7hyMHw9btqiPx4yBTz6RgqnColx7x7R7iDufPNSt3twxlfjBMsh5EkIdNfv0in2cSlOnPk65J5yn+7ZA21inPhYUQGys8Wius2cr72dnB126GCe6mjeXm4miSpcKSnlqRSw7E7LQaODVIW149M5Qs9QhFbevJvFDjdOa33zzDVOmTGHmzJns27ePiIgIBg4cSFpaWpX7b968mbFjx7Jp0yZiYmIIDg5mwIABJCUl1fSjhRCNWP/WvvzxfB/GdAlCUWDZX2cY8N4WNp5INXfTbk3TprBhA8yZo9aT+O476NgRNm40d8uEqJaiUh3Pf3OAN39Wk16juwTy1aNR9SbpZWkWLVpESEgI9vb2REVFsXv37hvuv3r1alq3bo29vT0dOnTgl19+MXpeURRee+01/P39cXBwIDo6mlOnThntk5WVxQMPPICLiwtubm48+uij5OfnG57fvHkzI0aMwN/fHycnJzp16sSKFSuM3mPZsmVoNBqjL3t7+9vsDSEan5a+zqyb3IsxXYLQK/DuHyeZ8MVuMvOrmLbX0JSXw8GD8Omn8PjjEBGhroDdpw/861+werWa9NJooG1bdZT8Rx+pBetzc+Gvv2DBAhg3Ti0fIUkMUYVDF7IZ+dEOdiZk4WRrxecTuvHYXWGS9GokajziKyoqiu7du7Nw4UIA9Ho9wcHBPPPMM0ydOvWmr9fpdLi7u7Nw4ULGjx9frc+UO4FCiKttPZnOq2sPcz6rCIBhHf2ZObyd5S4HHhurBmsnT6qPX3xRXQXSzkKPRzR457MK+edXsRxLzsVKq2HG0DZMuCOk3gWPlhI/fPPNN4wfP57FixcTFRXFggULWL16NXFxcfhUMT3nr7/+onfv3syZM4dhw4axcuVK5s6dy759+2jfvj0Ac+fOZc6cOSxfvpzQ0FBmzJjB4cOHOXbsmCExNXjwYJKTk1myZAllZWVMnDiR7t27s3LlSgDeeustioqKGDx4ML6+vvz0009MmTKFdevWMWzYMEBNfD333HPExcUZ2qfRaPD19a328VvKeRKirqzee54Z645QXKbH10Vd9TGqoUx9VBQ1iXX1SK7YWCgsrLxvYKDxCotdu6oJMSFqQKdXWLwlnvnrT1KuVwh0c+Dzh7vR2k9+liydyaY6lpaW4ujoyP/+9z9Gjhxp2D5hwgSys7NZt27dTd8jLy8PHx8fVq9ebQiarlVSUkLJVUUJc3NzCQ4OloBICGFQWFrOgj9P8dm2BPQKuDrY8OqQNvy9W1C9++O7WgoK1ITXkiXq44gIWLlSvbMpRD2y/VQGk1ftI7uwDE8nWxY90KXe1qKxlIRKTW8q3nfffRQUFPDTTz8ZtvXo0YNOnTqxePFiFEUhICCAF198kZdeegmAnJwcfH19WbZsGffffz/Hjx+nbdu27Nmzh27dugHw22+/MWTIEC5cuEBAQECVbR06dCi+vr4sXboUUBNfzz//PNnZ2bd8/JZynoSoSycvT308fXnq44sDWvFUn+aWN/UxK8u4Ltfu3ZCeXnk/Z2e1FldFAfru3dXElxC34XxWIS98c4C9Z9VacEM6+PHWqA64Ocro9IbAZFMdMzIy0Ol0le7i+fr6kpKSUq33+L//+z8CAgKIjo6+7j5z5szB1dXV8BUcHFyTZgohGgFHW2teGdKGHybfSbsAF3KKynj5u0OM+3QX8en5N3+D+sbJCRYvhrVrwctLHfLftSssWlR5CW4hzEBRFD7dmsD4pbvILiyjY5ArPz5zZ71NelmK0tJSYmNjjeIirVZLdHQ0MTExVb4mJiamUhw1cOBAw/6JiYmkpKQY7ePq6kpUVJRhn5iYGNzc3AxJL4Do6Gi0Wi27du26bntzcnLwuKYWYX5+Ps2aNSM4OJgRI0Zw9OjRGx5zSUkJubm5Rl9CCGPhvs78MLkXo7sEolfgnd/jmLhsT/2e+lhcDDt3wvvvwwMPQMuW4OkJgwbBa6/Bzz+rSS8bG+jWDZ5+GpYtg2PHIDtbLQHx1lswcqQkvcRtURSFNfsuMPj9bew9e4kmdtb85+8RLBrXRZJejVSdVoV+++23+frrr9m8efMN6z9MmzaNKVOmGB5XjPgSQohrtQ90Zd2kXizdkch7608Sk5DJoAVbeaJ3GJP7tcTB1srcTayZESPUO50TJ8Lvv8PkyfDLL7B0KdRg6pAQtSm3uIxpaw7z86FkAO7tGsSbI9tjb2Nh/7/qoRvdVDxx4kSVr0lJSbnhTciK7zfb59pplNbW1nh4eFz3Zua3337Lnj17WFIxMhVo1aoVS5cupWPHjuTk5PDuu+9yxx13cPToUYKCgqp8nzlz5jB79uwqnxNCXOFoq/6x3iPMk9fWHWHLyXSGfrCdD8d1pnuImRfD0evhxAnjKYsHD6r1uq7VsqVx8flOnUBqAQoTyS4s5dW1RwwxS7dm7sy/rxPBHo5mbpkwpxolvry8vLCysiI11biYdGpqKn5+fjd87bvvvsvbb7/Nn3/+SceOHW+4r52dHXZS20YIUU3WVlqe6N2cQe38mfnDETbFpbNoUzxr919k5vC23NPW17KmP/r7q8muhQvh5ZfVf3foAF98AUOHmrt1opE5eD6bZ1bt51xWIdZaDa8Nb8tDPZpZ1v8pcds2bdrExIkT+fTTT2nXrp1he8+ePenZs6fh8R133EGbNm1YsmQJb7zxRpXvJTc4hag+jUbDP7oFExHkxtMrYolPL+D+T3by0oBW/LN3WN1NfUxKMk5y7dkDeXmV9/P2vjJdsWLKoqxYLerIjtMZvPjtQVJyi7HWang+uiVP9mmOtVWN1/QTDUyNEl+2trZ07dqVDRs2GGp86fV6NmzYwOTJk6/7unnz5vHvf/+b33//3WhIvRBC1Kamno4sfbg7fxxL5fUfj5GUXcQTX8XSv7UPs4a3o6mnBd3p0Wrh2WehXz91usDhwzBsmDot4J13wNGCjkVYJEVR+Hx7InN/O0GZTiHI3YEPxnamS1N3czetQbmVm4p+fn433L/ie2pqKv7+/kb7dOrUybDPtStyl5eXk5WVVelzt2zZwvDhw5k/f/5NFyaysbGhc+fOnD59+rr7yA1OIWqulZ8zP0y+k+lrj/D9/iTm/naCXYmZvPePTnhUrKar08G2bZCcrN5Eu+susLqFkbm5ueqKiRVJrl274OLFyvs5OqplGSqKz0dGqqtWy40RUceKy3S8+3scn21PBCDMy4n593UiItjNvA0T9UaNU59Tpkzh008/Zfny5Rw/fpynnnqKgoICJk6cCMD48eOZNm2aYf+5c+cyY8YMli5dSkhICCkpKaSkpBgtly2EELVFo9EwsJ0f66f05um+zbGx0rDxRBr3zN/C+3+eorhMZ+4m1kyHDmrQ+cIL6uOPPlLrYhw4YNZmiYYtq6CUx5bv5c2fj1OmUxjc3o+fn71Lkl4mcPVNxQoVNxWvHkl1tZ49exrtD7B+/XrD/qGhofj5+Rntk5uby65duwz79OzZk+zsbGJjYw37bNy4Eb1eT1RUlGHb5s2bGTp0KHPnzuWJJ5646fHodDoOHz5slHATQtQOJztr3vtHBHPHdMDOWsvmuHSGfrCNvWeyYM0aCAlRb5iNG6d+DwlRt99Iaam6quLHH6tlFtq2BTc3uPtumDYNvv9eTXpptdCxIzz+OHz6qTqtMScHtm6Fd9+Fv/8dmjWTpJeocydSchm5aIch6fVAVFN+evZOSXoJIzVa1bHCwoULeeedd0hJSaFTp0588MEHhiCpb9++hISEsGzZMgBCQkI4e/ZspfeYOXMms2bNqtbnyWo/QohbdTotn9fWHeGv+EwAgtwdeGVIGwa397O8qVp//AEPP6zeybWxUQvATpmiBqNC1JJdCZk89/UBUnKLsbXWMmNYWx6Mamp5/1+wnPjhm2++YcKECSxZsoTIyEgWLFjAt99+y4kTJ/D19WX8+PEEBgYyZ84cAP766y/69OnD22+/zdChQ/n6669566232LdvH+3btwfUG49vv/02y5cvJzQ0lBkzZnDo0CGOHTtmqLM6ePBgUlNTWbx4MWVlZUycOJFu3bqxcuVKQJ3eOGzYMJ577jmeffZZQ3ttbW0NBe5ff/11evToQYsWLcjOzuadd95h7dq1xMbG0raaq9JaynkSoj45npzLpBX7SMgowAqFSTu+5umYb7HXlV3ZqeK6/b//wejR6mI58fHGKyzu3w8lVRTMDwkxrsvVpYu6EI8Q9YRer7B0RyLzfoujVKfH08mWuWM6Et1WauI2FjWJH24p8VXXJCASQtwORVH48VAyc345TnJOMQCRoR68Nqwt7QNdzdy6GsrIUO+2rl2rPu7fH5Yvh+sUkRaiusp0ehZuPM2HG0+hVyDM24mFY7vQNsByf+9aUvxQk5uKAKtXr2b69OmcOXOGli1bMm/ePIYMGWJ4XlEUZs6cySeffEJ2djZ33nknH330EeHh4YZ9srKymDx5Mj/++CNarZYxY8bwwQcf0KRJEwAefvhhli9fXqmtffr0YfPmzQC88MILrFmzhpSUFNzd3enatStvvvkmnTt3rvaxW9J5EqI+yS8p59U1h1h3UC3iHZqVxJt/fESvsweNd3RxgR491Lpcly5VfiN3d+MkV/fusqCOqNdScop5afVBtp/OAKB/ax/mjumIt7NMo29MJPElhBBVKCwtZ/GWBJZsiaekXI9GA/d1C+bFAa0s6xelosDnn8Nzz0FhoRqwLlmiTjMQ4hbEpeTx4uoDHEnKBWBMlyBeH9EOJ7s6Xfy51kn8YBnkPAlx65RNm/jlqRnMvvsJ0pw96Xn2EC9vWUbHlFNYVfVnnp0ddO58JckVFQXNm8sURWExfjmczLQ1h8kpKsPeRsv0oW15wEJHpovbI4kvIYS4gaTsIub+eoIfDqqFWpvYWTO5fwseviMEe5tbKAJrLidPqoXv9+5VHz/8MHzwATg7m7VZwnLo9AqfbkvgvT9OUqrT4+Zow+sj2vO3iABzN61WSPxgGeQ8CXEbVq2CcePItXXkP70f4rE93xOck1b1vsHBMHIktG6tJrvCwtS6XLa2ddpkIW5FXnEZs344xnf7LgDQIdCVBfd3orl3EzO3TJiLJL6EEKIaYs9mMfvHYxy6kANAoJsDLw4IZ2SnwLpbHvx2lZXBrFkwZ446EiwsDFasUKc0CHEDiRkFvLT6ILFn1Wkvd7f2Yc7oDvi42Ju5ZbVH4gfLIOdJiNuwebNayP6y0+6BxHsF41JSQHB2CgG5GWi5wZ97Wq2aEKtIhF39vXlztdC9EGa250wWL3xzgAuXitBq4Om+LXj27pbYWkud28ZMEl9CCFFNer3Cmv1JvPt7HCm5av2vNv4uTB3cmt4tvSxn2PTWrfDQQ3DunLp0+WuvwSuvgLVlT1UTtU+vV/hq51nm/Hqc4jI9TeyseW14W/7eNchyft6rSeIHyyDnSYjboNOpheiTktQbYEC5RsvyrsN4784HKbOyoWl2Mo8HaxnlVoLt2TOQkKAWuU9IUEsm3Ii7+/WTYoGBaswhhInkFJXxwYZTfLEjEb2iLlI1/75OdA/xMHfTRD0giS8hhKiholIdX/yVyMeb48krLgegVwtPpg5qQ4cgCymAn50NkybB5RXZuOMO+OorNUgVAjidlscr3x9hd2IWAHc092TevR0Jcnc0c8tMQ+IHyyDnSYjbtGYN3Huv+u+r/rRLdvZiVvQT/B5+B6CObH9jZDv6t/a9sm9q6pUk2LXfU1Ju/Lm2tmrS7dqkWFiY+iWrQIpbVK7Ts2r3Od5bf5JLhepKpaO7BDLrb+1wsbcxc+tEfSGJLyGEuEWXCkpZtOk0X8acpVSnB+BvEQG8cE84oV4WEsCtWAFPPw25uWq9r4UL1dFgDWw0j6i+4jIdCzeeZsnWeMp0Cg42Vkwb0poHo5pZzrTeWyDxg2WQ8yRELVizRl305sKFK9uCg2HBAv5s3YuZPxwlKbsIgMHt/Zg5vB1+rjeZ2l5QoCbAqkqKJSaq5RZuxM+v6qRY8+bqqpESl4gqbD2Zzhs/HeNUWj4ALX2aMH1YW/qEe5u5ZaK+kcSXEELcpvNZhfznjzjWHlAL4FtpNYzqHMiz/VvS1NMCRsecOaMmu7ZvVx/fdx98/LE6ZUE0KltPpjNj3RHOZqrTWe5u7cPsEe0a7Civq0n8YBnkPAlRS3Q62LYNkpPB3x/uusswFbGwtJwFf57i8+2J6PQKTeyseXFAOON7hmB1KzdAdDo1yVZVUiw+Hi5duvHrHR2vnxRr1kxdfVI0KqfT8nnrl+NsPKEuzuDuaMOUe8IZG9kUayup5SUqk8SXEELUkiNJOcxff5INl38JW2s1/L1bEJP6taj/iQOdDt5+G2bOVP8dHAxffgl9+5q7ZaIOpOUV88ZPx/nx8uqlfi72zPpbWwa282twtbyuR+IHyyDnSYi6czw5l1e+P8z+c9mAujLev0e1p2OQW+1+0KVL10+KnT8Pev31X6vRXL/gflgYeEh9p4Yku7CU9zec4quYs5TrFay1GibcEcKz/Vvi6ijTGsX1SeJLCCFq2YHz2cxff5ItJ9MBsLHScF/3YCb1a4G/q4OZW3cTu3fDAw/A6dNqMPnyy/D667J8eQNVptPz351neW/9SfKKy9FqYMIdIbw4oBVN7BrXYgcSP1gGOU9C1C29XmHVnnPM/fUEuZd/T4zvGcKLA8Jxrov6SaWlcPbslUTYtcmxgoIbv97NzbjI/tVJseBgKbhvIcp0elbuOsf8P0+SfbmOV3QbH14Z0oYw7yZmbp2wBJL4EkIIE9l7Jov5f55kx+lMAGyttNzbLYgnezev31Mg8/Ph+efh88/Vx126qLXAWrc2a7NE7VEUhQ3H03jrl+MkZKh/NHQMcuWtUR1oH2ghCzTUMokfLIOcJyHMIz2vhDd/Psa6y2UdfF3smD60LUM7+Juv/qOiQFpa5VFiFf9OTr7x621s1KmSVSXFwsKgiSRU6oPNcWm8+fNxTl+u49XK15npw9pwV0up4yWqTxJfQghhYjsTMnlv/UnD6nhaDQyPCOCpvs1p7VePr1Nr1sDjj0NWFjg4wHvvwT//KQVmLdyxi7n8+5djhoSsp5MtL1yui3FLtVsaCIkfLIOcJyHMa9updGasPcKZy7UgW/k6M7l/C4Z08K9/v0MKC9XC+lUlxRIT1dFkN+LjY5wQu/rffn4SD5nY6bQ83vz5OJvj1BkUHk62vDggnPu6BUsdL1FjkvgSQog6sjsxi482nzb8Agd1mPZTfVvQtVk9LSSflAQPPwx//qk+Hj5cHQnmLXfZLE1aXjHv/XGSb/aeR1HUEYiP3BnKpH7N62a6Sj0n8YNlkPMkhPkVl+lYvCWez7clkldSDkBzbycm92/B8I4BlpGU0Ong4sWq64rFx6s3/W7EweHKyLBrk2MhIVJw/zZcKrhcx2vnWXR6BRsrDRN7hTKpXwtcHSReEbdGEl9CCFHHjiTl8PGWeH45nEzFVTUq1IPH7wqjf2sf800ZuB69HhYsgGnT1Lujvr6wbBkMGmTulolqyC0uY+n2RD7dmkBBqQ6AoR39mTqoNcEe9XjKbR2T+MEyyHkSov7IKSpj2Y4zLN2RSE6RWncpxNORp/u1YFTnQGwsIQF2PdnZaiKsqqL7Z8/evOB+UND1V6L08JDRYlUo0+n5KuYs7284Zfh5GtDWl1eGtCHEy8nMrROWThJfQghhJgnp+SzZksCa/Rco06mX1xBPRyb2CuXerkE41bfi4gcPqoXvjx5VHz/7rLoSpEM9L9jfSOWXlLNsRyKfbE0gt1i9Ix8R7MZrw9rQtZmscnUtiR8sg5wnIeqfvOIyvow5y+fbE8kqUKcPBrk78FTf5tzbNQg76wZWQL6szLjg/rXf8/Nv/HpX1+snxYKDwbqexX8mZqg7+utxEtLVuqOt/Zx5bVhb7mjhZebWiYZCEl9CCGFmF7OLWP7XGVbuPkfe5QSFi701YyObMuGOEALc6lFiqagI/u//4MMP1cft2sHKldCxo3nbJQwKSsr5MuYsS7bGG1Y+aunThOejwxnc3q/+jSisJyR+sAxynoSovwpLy1mx8xxLtiaQkV8CgL+rPU/2ac593YOxt2lgCbCqKAqkp18/KXbx4o1fb219peB+VckxZ+e6OY46UFhazpp9SXyxI5H4ywkvTydbXhrYin90C65/NeOERZPElxBC1BMFJeV8t+8CS7cnGorGWmk1DGrvx4NRzegR5oGmvgyN//VXmDgRUlPB1lYd+fXcc6C14GkNFq7iD47FW+LJvHzHPczLieeiWzKsY4AEkDch8YNlkPMkRP1XXKZj1W7191FqrpoA83G244neYTwQ1QwH20aQALueoiK1sP61xfbj49XtJSU3fr239/WTYv7+FhGHXcwu4suYs6zafc4wpbGJnTUP9mjG0/2a4yJ1R4UJSOJLCCHqGb1eYeOJNJbuSOSv+EzD9jBvJ8ZFNuXerkG4OdqasYWXpaXBY4/Bjz+qj++5R639FRBg1mY1Nml5xXz511m+2nnWEEA283Tkubtb8rcICykyXA9I/GAZ5DwJYTmKy3Ssjr3A4s3xJGUXAeqInsd7h/Fgj2Y0qW8lHcxNr1dHhFWVFEtIgIyMG7/e3h5CQyuvQBkWpm63tzdd23U62LYNkpPVBNxdd4HVlQSnoijsO5fN0h2J/HYkBZ1eTSs083Tk4TtCuLdrkCy0I0xKEl9CCFGPHbuYy393nWXd/iRDYXJbay3DOvgzLqopXZu5m3cUmKLAkiUwZYp6F9PDAz77DEaNMl+bGonTaXl8ti2RNfuSKNWpRXabeToyqV8LRncOlIRXDUn8YBnkPAlheUrL9azZd4FFm09zPktNgLk52vBor1Am9AqRET7VlZOjjgq7dgXKioL7Ot2NXx8YWHVSrHlz8PS89YL7a9aoo/4vXLiyLSgI3n+f0r+N5NcjySzdcYaD57MNT/cM8+SRO0Pp39pHRqSLOiGJLyGEsAD5JeWsO5DEip3nOJaca9ge7tuEMV2CGNk5EF8XE97Ju5kTJ2DcONi/X3382GMwfz40aWK+NjVAiqKwKzGLT7cmsOFEmmF756Zu/LN3GPe09ZMA8hZJ/GAZ5DwJYbnKdHrWHbjIok2nScxQazo521szsVcoD0Y1xceccYylKyuD8+errisWHw95eTd+vYuLmgSrSIRdW3Df5jrJyTVr4N574Zo0QZajK6siBvLl3Q+RWqbGJbbWWkZ2CmBir1Da+Mv1W9QtSXwJIYQFURSFgxdyWLHzLD8eukhxmTrSR6uBO1t6M6ZLIAPa+pmnfkZpKbz2GsybpwZALVqohe+7d6/7tjQwOYVlfL//Aqt2nycuVQ1eNRp1me8neofJKo21QOIHyyDnSQjLp9Mr/HToIgs3nuZUmroColYDvVp4MaJTIIPa+8k0yNqkKJCZef2kWFLSjV9vZaUW3L92lFhICPztb0YF++O8mvFFt7/xfdu+lNjYAeDdxI6HejZjXFRTvJrYmfBAhbg+SXwJIYSFyikq4+dDyazZd4G9Zy8Ztjexs2Zwez9GdQkkKtSz7kcAbd4MDz2kDnm3toZZs2DqVKNaD+Lm1HoYl1i56zw/HbpISbma5LS30TKmSxCP3RVGqJeTmVvZcEj8YBnkPAnRcOj1Cr8dTeHz7YnEXhXH2NtouaetHyM7BdA73BsbmbpvWsXFxgX3r/6ekKA+fwMKkGvnxFHfMBb2vI+/QjoB0D7lNI/uWcvQD1/Dtn8/0x+HEDcgiS8hhGgAzmQUsGZ/Emv2XeDCpSLDdq8mtgxs58fQDv5EhnrUXd2nS5fgySfh22/Vx3fdBV99pd4xFDeUmV/CDwcvsmr3OU6m5hu2t/ZzZmxkU0Z2DsTVQeqh1DaJHyyDnCchGqazmQWsO3CRtfuTSLg8DRLAw8mWYR39GdEpkC5N3erP6tYNQVkZZGWpRfOv95WWBkeOGI3qupED/i1ZEnUvj+xZR7ekY2hAHf0/dqxJD0WIm5HElxBCNCB6vcLes5dYs+8Cvx5JMazyB+pKSgMuJ8F6hNVBEkxR1GTXpEmQn6/Wj/j4Y7UWmDCSW1zGH0dT+eHgRXaczjCsdmRvo2V4xwDGRjWlc7AE/KYk8YNlkPMkRMOmKAqHk3L4fn8SPx5MJiO/xPBcM09HRnQKZGSnAMK8pYaoEb1evel4oyTWtV/Z2bf2UVZW5Dq6kGbnzCUHF7IcXMi3dSAgN50WmefwLbjmfTdtgr59b/cIhbgtkvgSQogGqkyn56/4TH49nMzvR1O4VHglCebqYEPvcG/6t/amT7gPHk62pmtIQgI8+CDExKiPx42Djz4CV1fTfaYFKC7TseF4Gj8cTGJTXDqll6cyAnQIdOXv3YIY0UlGd9UViR8sg5wnIRqPcp2eHfGZrN2fxO9HUygsvbJqYUSQKyM7BzKsYwDeztWoG6XTwbZtkJwM/v7qSPT6WoJBUSA3t2ZJrKwsNflVUxqNuiK3l1eVX3oPT07r7diZo+HPdB0Him3Is3NE0ag3T1tfusC4vT8y5vAGnMqKK793UJA6jbK+9rVoNCTxJYQQjUCZTs+uhCx+vpwEyyooNTyn0UCnYDf6t/KhX2sf2gW41P7IovJy+Pe/4Y031OCzWTN1NNhdd9Xu59RzaXnFbD6RzsYTaWw7lU7BVUF8C58m/C0igGEd/eVOthlI/GAZ5DwJ0TgVlpaz/lgq3+9PYtupKyOjrbQa7mzhxajOgQxo54ujbRVF8desgeeeU2uPVggKgvffh9GjTdtwRYGCguolrzIzr/y7vPzWPs/V9bpJrCq/3N0rJaXyS8rZdjKd9cdT2XQizejGqbVWQ48wT6Lb+HB3G1+CN/+mrupYcawVKuLI//3P9H0sRDVI4ksIIRqZcp2eA+ez2RSXxsYT6RxPzjV63quJHT3CPOgR5knP5p6EeTnVXiIsJkYd/ZWQAFqtWvR+1qzrL5Nt4fR6hSMXc9hwPI1NcWkcupBj9HyQuwPDIwIY3jGANv7OMpXRjCR+sAxynoQQGfkl/HTwIt8fuMjB89mG7Q42VvRt5U23EA+6NnOnrb8Ltj+sVRMz1/4Ze6uJmeLimo3EysiAkpKbv29VnJxqlsTy8ADbWxvBfzG7iA3HU1l/PI2d8ZmU6q6MHnN1sKFfK2+i2/rSO9wbF/trYraqEovBwbBggSS9RL0hiS8hhGjkknOK2HQinU1xaew4nWE0lQDAx9nOkATrHuJBmJcT2ttZKTIvD559FpYtUx937w4rVkDLlrf+nvWEXq9wOj2fXYlZ7ErIZGdCllF9EoCOQa70b+1D/9Y+dAh0lWRXPSHxg2WQ8ySEuFpiRgFr9yex9kASZzMLjZ6zs9YScTGOLgkH6Jp0nC5JJ/AsMr7ZR0AA/PJL9etjFRRwS+zswNu7egksT0/1y8Hhxu95G9M3FUXhSFIu64+n8uexVI5dcxM0xNOR6Da+RLf1pVsz95vXhbWkqaSiUZLElxBCCIOSch0HzmUTk5DJzoRM9p3LNqo9BeBsb01EkBudgt2ICHYjItgVH2f7mn/Y6tXwz3+qwaajozrl4NFH1buw1wugKrYnJUFqqhqsbthw5T0ffBAeflj9d1qayYOv0nI9cSl57D6jJrr2nMkymhIA4GRrxV0tvenfxoe+rbxvra+EyUn8YBnkPAkhqqIoCgfOZ/NXfCb7zl4i9twlsq/6fexSnM/MP5fQJv0MPvlZuBQXYKu/xemE1tZXklTW1uooKz8/aN8efHyMpxEmJKjJsuxsNV759dcr7zNkCEyZcqXwe00SRzWYvqkoCqm5JcSl5nEqNY/jyXlsP51Oau6VG3NaDXRp6k50W1+i2/jS3LsWR/sLUQ9I4ksIIcR1FZfp2F+RCIvP5OCFbErKKxdPDXRzoF2AC638nAn3Vb9CvZywtb7JHcILF2D8eHXFH4BRo2DECJg+vXIwN3YsrFplvL06aqmOR2FpOceT8zh6MYejSbkcuZjDydQ8ynTGvxodbKzo2sydyFAPIkM96NLU/eb9IMxO4gfLIOdJCFEdiqKQsOxbYud/xr7ANpRprfjPLwtu/43t7NTElKKoSarSKzVTcXKCe+6Bbt0gPh7WrlVv7t1Mkybq+2ZmXtl2o9hlzZrrTt/MdHAhbtEXnArvTFxqHidT8jiZmkduceUkn6OtFb1bqlMY+7XyxrNJNRYJEMJCmTzxtWjRIt555x1SUlKIiIjgww8/JDIy8rr7r169mhkzZnDmzBlatmzJ3LlzGTJkSLU/TwIiIYQwnTKdOsLp4IVsDp7P5uD5HE6m5VWKvUAtgBrm7US4rzNhXk4EeTgS7O5IsIcD/q4OWFVMl9Tr4T//gVdfhbKyym90u2pQx0OvV0jJLeZMRgGJmQXq94xCEjLyOZNRgL6K43Sxt76c6PIkKsyD9gGukuiyQJYUP9R2bKUoCjNnzuTTTz8lOzubXr168fHHH9PyqunHWVlZPPPMM/z4449otVrGjBnD+++/T5MmVxZiOHToEJMmTWLPnj14e3vzzDPP8PLLL9eoLTdjSedJCGFmmzdDv36GhwU2dlxw9SXF2ZMMRzfy7Jyw1ZXjVFqEY1kRTqXFOJUV4a4rwUVXgn1JEbZFBWh1uut/hqkNGQIREWpyrEkTNbn28ssU5BZw3s2PBI9A9gS144RPCKe8mpLh5F7l21hpNYR4OtLKz5mWPs50bupGjzBP7G1kOqJoHEya+Prmm28YP348ixcvJioqigULFrB69Wri4uLw8fGptP9ff/1F7969mTNnDsOGDWPlypXMnTuXffv20b59+1o/ICGEELcvv6ScwxdyOJGSy8nUPOJS8jiVmk9eyfWnEFhrNQS4ORDs4YCfiwOeTWwJTzrJgOcewqUoT31fG3VKoH1ZCdbc+oBjnUZLga0Dhc1Cyd+8nYyictLySkjPKyEtr5j03BLS8kpIzS3m/KVCisuuvxy4t7Md7QNcaBfgSvtA9XuQu4NMB2gALCV+MEVsNXfuXObMmcPy5csJDQ1lxowZHD58mGPHjmFvr/4/HDx4MMnJySxZsoSysjImTpxI9+7dWblyJaD2X3h4ONHR0UybNo3Dhw/zyCOPsGDBAp544olqt+VmLOU8CSHqAZ0OQkLU8ghV/BlbrrXiRPtI9n30X2LP57Dv3CXOZxUZ76Qo2OnKcCwtwqmsGOfSIvzyMvDPScM3P4sWmecZeDIGa+X6sYOprW4fzb+GPg+ARtETnJ1KeKsgWrULMYzCD/N2ws5aklyi8TJp4isqKoru3buzcOFCAPR6PcHBwTzzzDNMnTq10v733XcfBQUF/PTTT4ZtPXr0oFOnTixevLjKzygpKaHkqpUycnNzCQ4OloBICCHMSFEUknOKDfUkzmQWcj6rkAuXiki6VGS0WtDV7MuKeWXTF4zf/3OttGP4Q/M5HFCzovnWWg3BHo6EeDoS4uVEqJcTIZ5OtPZzxsdF6nM1VJaSUKnt2EpRFAICAnjxxRd56aWXAMjJycHX15dly5Zx//33c/z4cdq2bcuePXvo1q0bAL/99htDhgzhwoULBAQE8PHHH/Pqq6+SkpKC7eVVxaZOncratWs5ceJEtdpSFYnzhBC3pWJaIBgnv64zGjwtt5h95y5xOCmHtNwS0vNLDN8z80uMRn5r9TpiP3wQ9+K8OjgQYyVW1pRrrSnXWrEruD259k6EZ5yjReZ5HMtKYOVKtUSEEAKoWZxnXZM3Li0tJTY2lmnTphm2abVaoqOjiYmJqfI1MTExTJkyxWjbwIEDWbt27XU/Z86cOcyePbsmTRNCCGFiGo06oivAzYF+rYxHoej1Cql5xZzPKuJ8ViFpeWowmXU0jozYo3zT8R4O+rfkxW3/JSAv47baEZCfzmHUxJeVXoeTjRYv9yZ4Odvh42yHj7M93hX/drEj2N2RQHcHbG62epEQZmCK2CoxMZGUlBSio6MNz7u6uhIVFUVMTAz3338/MTExuLm5GZJeANHR0Wi1Wnbt2sWoUaOIiYmhd+/ehqRXxefMnTuXS5cu4e7uLnGeEKLujR6tJreqKgS/YEGlEgg+LvYMau/PoPb+ld5Kp1fI+u83pL/0CulN3El3cuOcmy/uKbWb+Jp+z1OUa62w0uuwUvRYdeuCVXg49k4OBOdl0OK1F2mZcR6XUnUVywGnd1V+E//K7RdCVE+NEl8ZGRnodDp8fX2Ntvv6+hru/F0rJSWlyv1TUlKu+znTpk0zCqIq7gQKIYSon7RaDf6uap2vyFCPK080SYOpMw0PFaBYa02xjR1FNvYU2thRYm1LqZUNXoXZ2OrK8Sm4UjS2XKPlvJsvOo0WG105ikbD9I2f89ZvC3EqLcJOV4Zm06YrqycJYWFMEVtVfL/ZPtdOo7S2tsbDw8Non9DQ0ErvUfGcu7u7xHlCCPMYPVpdOKcmqyZWwUqrwbupH97piZCeeMN9i61tSXd0o8jaDsfyYmx1ZfgUZBuerxj3XtVttjfXf2y84dWrYhedDmY9CWVFlV4HqCPZgoLU4xNC3JIaJb7qip2dHXZ2sgKFEEJYvLvuUoO1y7U4NIC9vhz7knLcSgpu+nJrRU/opeSqn9RoIDhYAkEhLIzEeUKIWmFlVTs3vq6JVa73WfblpQTnpl33bao1rryqJJaVlbra4733qs9XNX1zwYIaJ/WEEFfUaN6Hl5cXVlZWpKamGm1PTU3Fz8+vytf4+fnVaH8hhBANSEUwB1eCt9oggaBoIEwRW1V8v9k+aWnGf8CVl5eTlZVltE9V73H1Z0icJ4SweDeKVTQa9WvKlNuPY24Uu1RM3wwMNN4eFFStFayFEDdWo8SXra0tXbt2ZcOGDYZter2eDRs20LNnzypf07NnT6P9AdavX3/d/YUQQjQw1wvmgoPhX/9Sg7qakkBQNBCmiK1CQ0Px8/Mz2ic3N5ddu3YZ9unZsyfZ2dnExsYa9tm4cSN6vZ6oqCjDPlu3bqWsrMzoc1q1aoW7u3u12iKEEBbhZomnefPU79WNWZo0AU/Pqt/rerHL6NFw5gxs2qQWst+0CRITJdYRojYoNfT1118rdnZ2yrJly5Rjx44pTzzxhOLm5qakpKQoiqIoDz30kDJ16lTD/jt27FCsra2Vd999Vzl+/Lgyc+ZMxcbGRjl8+HC1PzMnJ0cBlJycnJo2VwghRH1RXq4omzYpysqV6vfycuPt//2vovznP4py992Kog70V78efFBR/vxT/br2tULcgKXED6aIrd5++23Fzc1NWbdunXLo0CFlxIgRSmhoqFJUVGTYZ9CgQUrnzp2VXbt2Kdu3b1datmypjB071vB8dna24uvrqzz00EPKkSNHlK+//lpxdHRUlixZUqO23IylnCchRCNwvVjl2ucrYpbBg41jliFD1HilvPzm7yWEuC01iR9qnPhSFEX58MMPlaZNmyq2trZKZGSksnPnTsNzffr0USZMmGC0/7fffquEh4crtra2Srt27ZSff/65Rp8nAZEQQgghasqS4ofajq30er0yY8YMxdfXV7Gzs1PuvvtuJS4uzmifzMxMZezYsUqTJk0UFxcXZeLEiUpeXp7RPgcPHlTuvPNOxc7OTgkMDFTefvvtSm2XOE8IIYQQda0m8YNGUa5Xwa/+yM3NxdXVlZycHFxcXMzdHCGEEEJYAIkfLIOcJyGEEELUVE3ihxrV+BJCCCGEEEIIIYQQwlJI4ksIIYQQQgghhBBCNEiS+BJCCCGEEEIIIYQQDZIkvoQQQgghhBBCCCFEgySJLyGEEEIIIYQQQgjRIFmbuwHVUbHwZG5urplbIoQQQghLURE3WMAC1o2axHlCCCGEqKmaxHkWkfjKy8sDIDg42MwtEUIIIYSlycvLw9XV1dzNENchcZ4QQgghblV14jyNYgG3QfV6PRcvXsTZ2RmNRlPr75+bm0twcDDnz5/HxcWl1t/fEkmfVE36pWrSL5VJn1RN+qUy6ZOq1Ua/KIpCXl4eAQEBaLVS3aG+MnWcV1vk/2rdkz6vW9LfdUv6u+5Jn9ctU/d3TeI8ixjxpdVqCQoKMvnnuLi4yH+Aa0ifVE36pWrSL5VJn1RN+qUy6ZOq3W6/yEiv+q+u4rzaIv9X6570ed2S/q5b0t91T/q8bpmyv6sb58ntTyGEEEIIIYQQQgjRIEniSwghhBBCCCGEEEI0SJL4Auzs7Jg5cyZ2dnbmbkq9IX1SNemXqkm/VCZ9UjXpl8qkT6om/SLqG/mZrHvS53VL+rtuSX/XPenzulWf+tsiitsLIYQQQgghhBBCCFFTMuJLCCGEEEIIIYQQQjRIkvgSQgghhBBCCCGEEA2SJL6EEEIIIYQQQgghRIMkiS8hhBBCCCGEEEII0SBJ4ksIIYQQQgghhBBCNEiNJvG1aNEiQkJCsLe3Jyoqit27d19337KyMl5//XWaN2+Ovb09ERER/Pbbb3XYWtPbunUrw4cPJyAgAI1Gw9q1a2/6ms2bN9OlSxfs7Oxo0aIFy5YtM3k761JN+yQ5OZlx48YRHh6OVqvl+eefr5N21rWa9suaNWu455578Pb2xsXFhZ49e/L777/XTWPrUE37Zfv27fTq1QtPT08cHBxo3bo18+fPr5vG1pFbua5U2LFjB9bW1nTq1Mlk7TOXmvbL5s2b0Wg0lb5SUlLqpsF15FZ+XkpKSnj11Vdp1qwZdnZ2hISEsHTpUtM3Vlg8U12fbhZfFhcXM2nSJDw9PWnSpAljxowhNTX1No+m/jNXf/ft27fStfPJJ5+8zaOxDKbo8+q8p6IovPbaa/j7++Pg4EB0dDSnTp26vYOxAObq74cffrjSz/igQYNu72AshCn6fM6cOXTv3h1nZ2d8fHwYOXIkcXFxRvvIdbxu+9tU1/FGkfj65ptvmDJlCjNnzmTfvn1EREQwcOBA0tLSqtx/+vTpLFmyhA8//JBjx47x5JNPMmrUKPbv31/HLTedgoICIiIiWLRoUbX2T0xMZOjQofTr148DBw7w/PPP89hjjzWohEZN+6SkpARvb2+mT59ORESEiVtnPjXtl61bt3LPPffwyy+/EBsbS79+/Rg+fHiD+v8DNe8XJycnJk+ezNatWzl+/DjTp09n+vTpfPLJJyZuad2paZ9UyM7OZvz48dx9990mapl53Wq/xMXFkZycbPjy8fExUQvN41b65R//+AcbNmzg888/Jy4ujlWrVtGqVSsTtlI0FKa4PlUnvnzhhRf48ccfWb16NVu2bOHixYuMHj36to+nvjNXfwM8/vjjRtfOefPm3daxWApT9Hl13nPevHl88MEHLF68mF27duHk5MTAgQMpLi6u8TFYEnP1N8CgQYOMfsZXrVpVozZYKlP0+ZYtW5g0aRI7d+5k/fr1lJWVMWDAAAoKCgz7yHW8bvsbTHQdVxqByMhIZdKkSYbHOp1OCQgIUObMmVPl/v7+/srChQuNto0ePVp54IEHTNpOcwGU77///ob7vPzyy0q7du2Mtt13333KwIEDTdgy86lOn1ytT58+ynPPPWey9tQXNe2XCm3btlVmz55d+w2qJ261X0aNGqU8+OCDtd+geqAmfXLfffcp06dPV2bOnKlERESYtF3mVp1+2bRpkwIoly5dqpM21QfV6Zdff/1VcXV1VTIzM+umUaLBqq3r083iy+zsbMXGxkZZvXq1YZ/jx48rgBITE3Pbx2Ep6qq/FaXxxGM3Y4rfwVW9p16vV/z8/JR33nnHsC07O1uxs7NTVq1adQstt0x11d+KoigTJkxQRowYcUvtbEhMFWempaUpgLJlyxZFUeQ6XqGu+ltRTHcdb/AjvkpLS4mNjSU6OtqwTavVEh0dTUxMTJWvKSkpwd7e3mibg4MD27dvN2lb67OYmBijPgQYOHDgdftQiAp6vZ68vDw8PDzM3ZR6Zf/+/fz111/06dPH3E0xqy+++IKEhARmzpxp7qbUO506dcLf35977rmHHTt2mLs5ZvfDDz/QrVs35s2bR2BgIOHh4bz00ksUFRWZu2migbrR9ak68WVsbCxlZWVG+7Ru3ZqmTZtK/FSF2+3vCitWrMDLy4v27dszbdo0CgsLTd52S3W7v4MTExNJSUkxOi+urq5ERUXJz3gVaivm2bx5Mz4+PrRq1YqnnnqKzMzMWmphw1PTPs/JyQEw/N0i1/Gaud3+rmCK67j1bb9DPZeRkYFOp8PX19dou6+vLydOnKjyNQMHDuS9996jd+/eNG/enA0bNrBmzRp0Ol1dNLleSklJqbIPc3NzKSoqwsHBwUwtE/Xdu+++S35+Pv/4xz/M3ZR6ISgoiPT0dMrLy5k1axaPPfaYuZtkNqdOnWLq1Kls27YNa+sG/+uo2vz9/Vm8eDHdunWjpKSEzz77jL59+7Jr1y66dOli7uaZTUJCAtu3b8fe3p7vv/+ejIwMnn76aTIzM/niiy/M3TzRwNzs+lSd+DIlJQVbW1vc3Nwq7dPQavbdrtrob4Bx48bRrFkzAgICOHToEP/3f/9HXFwca9asMfkxWJra+B1c8XNc1XmRn3FjtRXzDBo0iNGjRxMaGkp8fDyvvPIKgwcPJiYmBisrq1psseWraZ/r9Xqef/55evXqRfv27QG5jtdEbfQ3mO46Ln9pVOH999/n8ccfp3Xr1mg0Gpo3b87EiROlgK4QNbRy5Upmz57NunXrGlx9olu1bds28vPz2blzJ1OnTqVFixaMHTvW3M2qczqdjnHjxjF79mzCw8PN3Zx6pVWrVkZ1q+644w7i4+OZP38+X331lRlbZl56vR6NRsOKFStwdXUF4L333uPee+/lo48+khswotbI9alu1WZ/P/HEE4Z/d+jQAX9/f+6++27i4+Np3rz57Ta1wZCf8bpVm/19//33G/7doUMHOnbsSPPmzdm8eXODrZV6K26lzydNmsSRI0ca9SyvW1Wb/W2q63iDT3x5eXlhZWVVaeWF1NRU/Pz8qnyNt7c3a9eupbi4mMzMTAICApg6dSphYWF10eR6yc/Pr8o+dHFxkT82RJW+/vprHnvsMVavXl1pmmxjFhoaCqgX8tTUVGbNmtUoE195eXns3buX/fv3M3nyZEBNbCiKgrW1NX/88Qf9+/c3cyvrj8jIyEYfiPn7+xMYGGhIegG0adMGRVG4cOECLVu2NGPrRENSnevTnXfeedP40s/Pj9LSUrKzs41GC9woBm2Maqu/qxIVFQXA6dOnJfF1ldr6HVzR96mpqfj7+xu2p6amNshVmm+VKWOesLAwvLy8OH36tCS+rlLTPp88eTI//fQTW7duJSgoyLBdruPVU1v9XZXauo43+Bpftra2dO3alQ0bNhi26fV6NmzYQM+ePW/4Wnt7ewIDAykvL+e7775jxIgRpm5uvdWzZ0+jPgRYv379TftQNE6rVq1i4sSJrFq1iqFDh5q7OfWWXq+npKTE3M0wCxcXFw4fPsyBAwcMX08++SStWrXiwIEDhl9yQnXgwAGjPyoao169enHx4kXy8/MN206ePIlWq71p0CRETVTn+lSd+LJr167Y2NgY7RMXF8e5c+ckfrpKbfV3VQ4cOADQ6K+f16qt38GhoaH4+fkZnZfc3Fx27dolP+NXMWXMc+HCBTIzM+Vn/BrV7XNFUZg8eTLff/89GzduNNygriDX8eqprf6uSm1dxxv8iC+AKVOmMGHCBLp160ZkZCQLFiygoKCAiRMnAjB+/HgCAwOZM2cOALt27SIpKYlOnTqRlJTErFmz0Ov1vPzyy+Y8jFqVn5/P6dOnDY8TExM5cOAAHh4eNG3alGnTppGUlMSXX34JwJNPPsnChQt5+eWXeeSRR9i4cSPffvstP//8s7kOodbVtE/gyn/E/Px80tPTOXDgALa2trRt27aum28yNe2XlStXMmHCBN5//32ioqIM898dHByMRmpYupr2y6JFi2jatCmtW7cGYOvWrbz77rs8++yzZmm/KdSkT7RardF8fgAfHx/s7e0rbbd0Nf1ZWbBgAaGhobRr147i4mI+++wzNm7cyB9//GGuQzCJmvbLuHHjeOONN5g4cSKzZ88mIyODf/3rXzzyyCMy8ljclCmuTzeLL11dXXn00UeZMmUKHh4euLi48Mwzz9CzZ0969OhRNwduJubo7/j4eFauXMmQIUPw9PTk0KFDvPDCC/Tu3ZuOHTvWzYGbkSn6/GbvqdFoeP7553nzzTdp2bIloaGhzJgxg4CAAEaOHGnyYzYnc/R3fn4+s2fPZsyYMfj5+REfH8/LL79MixYtGDhwoOkP2sxM0eeTJk1i5cqVrFu3DmdnZ8PfLa6uroa/XeQ6rqqL/jbpdbzW14mspz788EOladOmiq2trRIZGans3LnT8FyfPn2UCRMmGB5v3rxZadOmjWJnZ6d4enoqDz30kJKUlGSGVpvOpk2bFKDSV0U/TJgwQenTp0+l13Tq1EmxtbVVwsLClC+++KLO221Kt9InVe3frFmzOm+7KdW0X/r06XPD/RuKmvbLBx98oLRr105xdHRUXFxclM6dOysfffSRotPpzHMAJnAr/4euVp1ljy1RTftl7ty5SvPmzRV7e3vFw8ND6du3r7Jx40bzNN6EbuXn5fjx40p0dLTi4OCgBAUFKVOmTFEKCwvrvvHC4pjq+nSj+FJRFKWoqEh5+umnFXd3d8XR0VEZNWqUkpycXItHVj+Zo7/PnTun9O7dW/Hw8FDs7OyUFi1aKP/617+UnJycWj66+skUfX6z91QURdHr9cqMGTMUX19fxc7OTrn77ruVuLi42j/AesYc/V1YWKgMGDBA8fb2VmxsbJRmzZopjz/+uJKSkmKag6xnTNHnVb0fYPR3rlzH666/TXkd11xugBBCCCGEEEIIIYQQDUqDr/ElhBBCCCGEEEIIIRonSXwJIYQQQgghhBBCiAZJEl9CCCGEEEIIIYQQokGSxJcQQgghhBBCCCGEaJAk8SWEEEIIIYQQQgghGiRJfAkhhBBCCCGEEEKIBkkSX0IIIYQQQgghhBCiQZLElxBCCCGEEEIIIYRokCTxJYQQQgghhBBCCCEaJEl8CSGEEEIIIYQQQogGSRJfQgghhBBCCCGEEKJB+n8SO+aW4XKcZQAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "93141b10300e814d"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
